diff --git a/python/plugins/processing/tests/testdata/expected/voronoi.gfs b/python/plugins/processing/tests/testdata/expected/voronoi.gfs
new file mode 100644
index 00000000000..bea7483d6bf
--- /dev/null
+++ b/python/plugins/processing/tests/testdata/expected/voronoi.gfs
@@ -0,0 +1,26 @@
+<GMLFeatureClassList>
+  <GMLFeatureClass>
+    <Name>voronoi</Name>
+    <ElementPath>voronoi</ElementPath>
+    <!--POLYGON-->
+    <GeometryType>3</GeometryType>
+    <SRSName>EPSG:4326</SRSName>
+    <DatasetSpecificInfo>
+      <FeatureCount>9</FeatureCount>
+      <ExtentXMin>0.00000</ExtentXMin>
+      <ExtentXMax>8.00000</ExtentXMax>
+      <ExtentYMin>-5.00000</ExtentYMin>
+      <ExtentYMax>3.00000</ExtentYMax>
+    </DatasetSpecificInfo>
+    <PropertyDefn>
+      <Name>id</Name>
+      <ElementPath>id</ElementPath>
+      <Type>Integer</Type>
+    </PropertyDefn>
+    <PropertyDefn>
+      <Name>id2</Name>
+      <ElementPath>id2</ElementPath>
+      <Type>Integer</Type>
+    </PropertyDefn>
+  </GMLFeatureClass>
+</GMLFeatureClassList>
diff --git a/python/plugins/processing/tests/testdata/expected/voronoi.gml b/python/plugins/processing/tests/testdata/expected/voronoi.gml
new file mode 100644
index 00000000000..80bd4230611
--- /dev/null
+++ b/python/plugins/processing/tests/testdata/expected/voronoi.gml
@@ -0,0 +1,77 @@
+<?xml version="1.0" encoding="utf-8" ?>
+<ogr:FeatureCollection
+     xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"
+     xsi:schemaLocation=""
+     xmlns:ogr="http://ogr.maptools.org/"
+     xmlns:gml="http://www.opengis.net/gml">
+  <gml:boundedBy>
+    <gml:Box>
+      <gml:coord><gml:X>0</gml:X><gml:Y>-5</gml:Y></gml:coord>
+      <gml:coord><gml:X>8</gml:X><gml:Y>3</gml:Y></gml:coord>
+    </gml:Box>
+  </gml:boundedBy>
+                                                                                                                                                               
+  <gml:featureMember>
+    <ogr:voronoi fid="points.2">
+      <ogr:geometryProperty><gml:Polygon srsName="EPSG:4326"><gml:outerBoundaryIs><gml:LinearRing><gml:coordinates>2.5,0.5 0,3 2.0,3.0 3.16666666666667,1.83333333333333 2.5,0.5</gml:coordinates></gml:LinearRing></gml:outerBoundaryIs></gml:Polygon></ogr:geometryProperty>
+      <ogr:id>3</ogr:id>
+      <ogr:id2>0</ogr:id2>
+    </ogr:voronoi>
+  </gml:featureMember>
+  <gml:featureMember>
+    <ogr:voronoi fid="points.5">
+      <ogr:geometryProperty><gml:Polygon srsName="EPSG:4326"><gml:outerBoundaryIs><gml:LinearRing><gml:coordinates>0,-5 0,-3 3.5,-3.0 4.64285714285714,-5.0 0,-5</gml:coordinates></gml:LinearRing></gml:outerBoundaryIs></gml:Polygon></ogr:geometryProperty>
+      <ogr:id>6</ogr:id>
+      <ogr:id2>0</ogr:id2>
+    </ogr:voronoi>
+  </gml:featureMember>
+  <gml:featureMember>
+    <ogr:voronoi fid="points.4">
+      <ogr:geometryProperty><gml:Polygon srsName="EPSG:4326"><gml:outerBoundaryIs><gml:LinearRing><gml:coordinates>3.5,-3.0 2.5,-1.0 2.5,0.5 3.16666666666667,1.83333333333333 3.83333333333333,2.16666666666667 5.7,0.3 3.5,-3.0</gml:coordinates></gml:LinearRing></gml:outerBoundaryIs></gml:Polygon></ogr:geometryProperty>
+      <ogr:id>5</ogr:id>
+      <ogr:id2>1</ogr:id2>
+    </ogr:voronoi>
+  </gml:featureMember>
+  <gml:featureMember>
+    <ogr:voronoi fid="points.3">
+      <ogr:geometryProperty><gml:Polygon srsName="EPSG:4326"><gml:outerBoundaryIs><gml:LinearRing><gml:coordinates>5.7,0.3 3.83333333333333,2.16666666666667 4.25,3.0 8,3 8,2 7.5,1.5 5.7,0.3</gml:coordinates></gml:LinearRing></gml:outerBoundaryIs></gml:Polygon></ogr:geometryProperty>
+      <ogr:id>4</ogr:id>
+      <ogr:id2>2</ogr:id2>
+    </ogr:voronoi>
+  </gml:featureMember>
+  <gml:featureMember>
+    <ogr:voronoi fid="points.1">
+      <ogr:geometryProperty><gml:Polygon srsName="EPSG:4326"><gml:outerBoundaryIs><gml:LinearRing><gml:coordinates>3.16666666666667,1.83333333333333 2.0,3.0 4.25,3.0 3.83333333333333,2.16666666666667 3.16666666666667,1.83333333333333</gml:coordinates></gml:LinearRing></gml:outerBoundaryIs></gml:Polygon></ogr:geometryProperty>
+      <ogr:id>2</ogr:id>
+      <ogr:id2>1</ogr:id2>
+    </ogr:voronoi>
+  </gml:featureMember>
+  <gml:featureMember>
+    <ogr:voronoi fid="points.7">
+      <ogr:geometryProperty><gml:Polygon srsName="EPSG:4326"><gml:outerBoundaryIs><gml:LinearRing><gml:coordinates>4.64285714285714,-5.0 3.5,-3.0 5.7,0.3 7.5,1.5 7.5,-5.0 4.64285714285714,-5.0</gml:coordinates></gml:LinearRing></gml:outerBoundaryIs></gml:Polygon></ogr:geometryProperty>
+      <ogr:id>8</ogr:id>
+      <ogr:id2>0</ogr:id2>
+    </ogr:voronoi>
+  </gml:featureMember>
+  <gml:featureMember>
+    <ogr:voronoi fid="points.0">
+      <ogr:geometryProperty><gml:Polygon srsName="EPSG:4326"><gml:outerBoundaryIs><gml:LinearRing><gml:coordinates>2.5,-1.0 0.0,0.25 0,3 2.5,0.5 2.5,-1.0</gml:coordinates></gml:LinearRing></gml:outerBoundaryIs></gml:Polygon></ogr:geometryProperty>
+      <ogr:id>1</ogr:id>
+      <ogr:id2>2</ogr:id2>
+    </ogr:voronoi>
+  </gml:featureMember>
+  <gml:featureMember>
+    <ogr:voronoi fid="points.8">
+      <ogr:geometryProperty><gml:Polygon srsName="EPSG:4326"><gml:outerBoundaryIs><gml:LinearRing><gml:coordinates>0,-3 0.0,0.25 2.5,-1.0 3.5,-3.0 0,-3</gml:coordinates></gml:LinearRing></gml:outerBoundaryIs></gml:Polygon></ogr:geometryProperty>
+      <ogr:id>9</ogr:id>
+      <ogr:id2>0</ogr:id2>
+    </ogr:voronoi>
+  </gml:featureMember>
+  <gml:featureMember>
+    <ogr:voronoi fid="points.6">
+      <ogr:geometryProperty><gml:Polygon srsName="EPSG:4326"><gml:outerBoundaryIs><gml:LinearRing><gml:coordinates>7.5,-5.0 7.5,1.5 8,2 8,-5 7.5,-5.0</gml:coordinates></gml:LinearRing></gml:outerBoundaryIs></gml:Polygon></ogr:geometryProperty>
+      <ogr:id>7</ogr:id>
+      <ogr:id2>0</ogr:id2>
+    </ogr:voronoi>
+  </gml:featureMember>
+</ogr:FeatureCollection>
diff --git a/python/plugins/processing/tests/testdata/expected/voronoi_buffer.gfs b/python/plugins/processing/tests/testdata/expected/voronoi_buffer.gfs
new file mode 100644
index 00000000000..9db26dd3c89
--- /dev/null
+++ b/python/plugins/processing/tests/testdata/expected/voronoi_buffer.gfs
@@ -0,0 +1,26 @@
+<GMLFeatureClassList>
+  <GMLFeatureClass>
+    <Name>voronoi_buffer</Name>
+    <ElementPath>voronoi_buffer</ElementPath>
+    <!--POLYGON-->
+    <GeometryType>3</GeometryType>
+    <SRSName>EPSG:4326</SRSName>
+    <DatasetSpecificInfo>
+      <FeatureCount>9</FeatureCount>
+      <ExtentXMin>-0.80000</ExtentXMin>
+      <ExtentXMax>8.80000</ExtentXMax>
+      <ExtentYMin>-5.80000</ExtentYMin>
+      <ExtentYMax>3.80000</ExtentYMax>
+    </DatasetSpecificInfo>
+    <PropertyDefn>
+      <Name>id</Name>
+      <ElementPath>id</ElementPath>
+      <Type>Integer</Type>
+    </PropertyDefn>
+    <PropertyDefn>
+      <Name>id2</Name>
+      <ElementPath>id2</ElementPath>
+      <Type>Integer</Type>
+    </PropertyDefn>
+  </GMLFeatureClass>
+</GMLFeatureClassList>
diff --git a/python/plugins/processing/tests/testdata/expected/voronoi_buffer.gml b/python/plugins/processing/tests/testdata/expected/voronoi_buffer.gml
new file mode 100644
index 00000000000..b6aa140c4a0
--- /dev/null
+++ b/python/plugins/processing/tests/testdata/expected/voronoi_buffer.gml
@@ -0,0 +1,77 @@
+<?xml version="1.0" encoding="utf-8" ?>
+<ogr:FeatureCollection
+     xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"
+     xsi:schemaLocation=""
+     xmlns:ogr="http://ogr.maptools.org/"
+     xmlns:gml="http://www.opengis.net/gml">
+  <gml:boundedBy>
+    <gml:Box>
+      <gml:coord><gml:X>-0.8</gml:X><gml:Y>-5.8</gml:Y></gml:coord>
+      <gml:coord><gml:X>8.800000000000001</gml:X><gml:Y>3.800000000000001</gml:Y></gml:coord>
+    </gml:Box>
+  </gml:boundedBy>
+                                                                                                                          
+  <gml:featureMember>
+    <ogr:voronoi_buffer fid="points.2">
+      <ogr:geometryProperty><gml:Polygon srsName="EPSG:4326"><gml:outerBoundaryIs><gml:LinearRing><gml:coordinates>2.5,0.5 -0.8,3.0 -0.8,3.8 0.703157894736841,3.8 3.16666666666667,1.83333333333333 2.5,0.5</gml:coordinates></gml:LinearRing></gml:outerBoundaryIs></gml:Polygon></ogr:geometryProperty>
+      <ogr:id>3</ogr:id>
+      <ogr:id2>0</ogr:id2>
+    </ogr:voronoi_buffer>
+  </gml:featureMember>
+  <gml:featureMember>
+    <ogr:voronoi_buffer fid="points.5">
+      <ogr:geometryProperty><gml:Polygon srsName="EPSG:4326"><gml:outerBoundaryIs><gml:LinearRing><gml:coordinates>-0.8,-5.8 -0.8,-3.0 3.5,-3.0 4.64285714285714,-5.8 -0.8,-5.8</gml:coordinates></gml:LinearRing></gml:outerBoundaryIs></gml:Polygon></ogr:geometryProperty>
+      <ogr:id>6</ogr:id>
+      <ogr:id2>0</ogr:id2>
+    </ogr:voronoi_buffer>
+  </gml:featureMember>
+  <gml:featureMember>
+    <ogr:voronoi_buffer fid="points.4">
+      <ogr:geometryProperty><gml:Polygon srsName="EPSG:4326"><gml:outerBoundaryIs><gml:LinearRing><gml:coordinates>3.5,-3.0 2.5,-1.0 2.5,0.5 3.16666666666667,1.83333333333333 3.83333333333333,2.16666666666667 5.7,0.3 3.5,-3.0</gml:coordinates></gml:LinearRing></gml:outerBoundaryIs></gml:Polygon></ogr:geometryProperty>
+      <ogr:id>5</ogr:id>
+      <ogr:id2>1</ogr:id2>
+    </ogr:voronoi_buffer>
+  </gml:featureMember>
+  <gml:featureMember>
+    <ogr:voronoi_buffer fid="points.3">
+      <ogr:geometryProperty><gml:Polygon srsName="EPSG:4326"><gml:outerBoundaryIs><gml:LinearRing><gml:coordinates>5.7,0.3 3.83333333333333,2.16666666666667 4.65,3.8 8.8,3.8 8.8,2.8 7.5,1.5 5.7,0.3</gml:coordinates></gml:LinearRing></gml:outerBoundaryIs></gml:Polygon></ogr:geometryProperty>
+      <ogr:id>4</ogr:id>
+      <ogr:id2>2</ogr:id2>
+    </ogr:voronoi_buffer>
+  </gml:featureMember>
+  <gml:featureMember>
+    <ogr:voronoi_buffer fid="points.1">
+      <ogr:geometryProperty><gml:Polygon srsName="EPSG:4326"><gml:outerBoundaryIs><gml:LinearRing><gml:coordinates>3.16666666666667,1.83333333333333 0.703157894736841,3.8 4.65,3.8 3.83333333333333,2.16666666666667 3.16666666666667,1.83333333333333</gml:coordinates></gml:LinearRing></gml:outerBoundaryIs></gml:Polygon></ogr:geometryProperty>
+      <ogr:id>2</ogr:id>
+      <ogr:id2>1</ogr:id2>
+    </ogr:voronoi_buffer>
+  </gml:featureMember>
+  <gml:featureMember>
+    <ogr:voronoi_buffer fid="points.7">
+      <ogr:geometryProperty><gml:Polygon srsName="EPSG:4326"><gml:outerBoundaryIs><gml:LinearRing><gml:coordinates>4.64285714285714,-5.8 3.5,-3.0 5.7,0.3 7.5,1.5 7.5,-5.8 4.64285714285714,-5.8</gml:coordinates></gml:LinearRing></gml:outerBoundaryIs></gml:Polygon></ogr:geometryProperty>
+      <ogr:id>8</ogr:id>
+      <ogr:id2>0</ogr:id2>
+    </ogr:voronoi_buffer>
+  </gml:featureMember>
+  <gml:featureMember>
+    <ogr:voronoi_buffer fid="points.0">
+      <ogr:geometryProperty><gml:Polygon srsName="EPSG:4326"><gml:outerBoundaryIs><gml:LinearRing><gml:coordinates>2.5,-1.0 -0.8,0.25 -0.8,3.0 2.5,0.5 2.5,-1.0</gml:coordinates></gml:LinearRing></gml:outerBoundaryIs></gml:Polygon></ogr:geometryProperty>
+      <ogr:id>1</ogr:id>
+      <ogr:id2>2</ogr:id2>
+    </ogr:voronoi_buffer>
+  </gml:featureMember>
+  <gml:featureMember>
+    <ogr:voronoi_buffer fid="points.8">
+      <ogr:geometryProperty><gml:Polygon srsName="EPSG:4326"><gml:outerBoundaryIs><gml:LinearRing><gml:coordinates>-0.8,-3.0 -0.8,0.25 2.5,-1.0 3.5,-3.0 -0.8,-3.0</gml:coordinates></gml:LinearRing></gml:outerBoundaryIs></gml:Polygon></ogr:geometryProperty>
+      <ogr:id>9</ogr:id>
+      <ogr:id2>0</ogr:id2>
+    </ogr:voronoi_buffer>
+  </gml:featureMember>
+  <gml:featureMember>
+    <ogr:voronoi_buffer fid="points.6">
+      <ogr:geometryProperty><gml:Polygon srsName="EPSG:4326"><gml:outerBoundaryIs><gml:LinearRing><gml:coordinates>7.5,-5.8 7.5,1.5 8.8,2.8 8.8,-5.8 7.5,-5.8</gml:coordinates></gml:LinearRing></gml:outerBoundaryIs></gml:Polygon></ogr:geometryProperty>
+      <ogr:id>7</ogr:id>
+      <ogr:id2>0</ogr:id2>
+    </ogr:voronoi_buffer>
+  </gml:featureMember>
+</ogr:FeatureCollection>
diff --git a/python/plugins/processing/tests/testdata/qgis_algorithm_tests.yaml b/python/plugins/processing/tests/testdata/qgis_algorithm_tests.yaml
index c832dae150b..a97c5443a49 100644
--- a/python/plugins/processing/tests/testdata/qgis_algorithm_tests.yaml
+++ b/python/plugins/processing/tests/testdata/qgis_algorithm_tests.yaml
@@ -1776,7 +1776,7 @@ tests:
       OUTPUT:
         name: expected/grid_lines_overlay.gml
         type: vector
-         
+
   - algorithm: qgis:creategridpolygon
     name: Create grid (rectangle with overlay)
     params:
@@ -1794,7 +1794,7 @@ tests:
         compare:
           geometry:
             precision: 7
-        
+
   - algorithm: qgis:creategridpolygon
     name: Create grid (diamond with overlay)
     params:
@@ -1812,7 +1812,7 @@ tests:
         compare:
           geometry:
             precision: 7
-            
+
   - algorithm: qgis:creategridpolygon
     name: Create grid (hexagon with overlay)
     params:
@@ -1830,7 +1830,7 @@ tests:
         compare:
           geometry:
             precision: 7
-          
+
   - algorithm: qgis:deleteholes
     name: Delete holes (no min)
     params:
@@ -2312,3 +2312,27 @@ tests:
       OUTPUT:
         name: expected/polygonize.gml
         type: vector
+
+  - algorithm: qgis:voronoipolygons
+    name: Standard voronoi
+    params:
+      BUFFER: 0.0
+      INPUT:
+        name: points.gml
+        type: vector
+    results:
+      OUTPUT:
+        name: expected/voronoi.gml
+        type: vector
+
+  - algorithm: qgis:voronoipolygons
+    name: Vornoi with buffer region
+    params:
+      BUFFER: 10.0
+      INPUT:
+        name: points.gml
+        type: vector
+    results:
+      OUTPUT:
+        name: expected/voronoi_buffer.gml
+        type: vector