diff --git a/src/ol/geom/Geometry.js b/src/ol/geom/Geometry.js
index 540559670d..5886ca90fe 100644
--- a/src/ol/geom/Geometry.js
+++ b/src/ol/geom/Geometry.js
@@ -92,7 +92,8 @@ class Geometry extends BaseObject {
    * @return {boolean} Contains (x, y).
    */
   containsXY(x, y) {
-    return false;
+    const coord = this.getClosestPoint([x, y]);
+    return coord[0] === x && coord[1] === y;
   }
 
   /**
diff --git a/test/spec/ol/geom/linestring.test.js b/test/spec/ol/geom/linestring.test.js
index 70968b30a0..a4c7892bca 100644
--- a/test/spec/ol/geom/linestring.test.js
+++ b/test/spec/ol/geom/linestring.test.js
@@ -443,4 +443,37 @@ describe('ol.geom.LineString', function() {
 
   });
 
+  describe('#containsXY()', function() {
+
+    let lineString;
+    beforeEach(function() {
+      lineString = new LineString([
+        [0, 0, 0, 0],
+        [1, -1, 2, 1],
+        [2, -2, 4, 2],
+        [4, -4, 8, 4],
+        [8, -8, 16, 8],
+        [12, -12, 24, 12],
+        [14, -14, 28, 14],
+        [15, -15, 30, 15],
+        [16, -16, 32, 16],
+        [18, -18, 36, 18],
+        [22, -22, 44, 22]
+      ]);
+    });
+
+    it('does contain XY', function() {
+      expect(lineString.containsXY(1, -1)).to.be(true);
+      expect(lineString.containsXY(16, -16)).to.be(true);
+      expect(lineString.containsXY(3, -3)).to.be(true);
+    });
+
+    it('does not contain XY', function() {
+      expect(lineString.containsXY(1, 3)).to.be(false);
+      expect(lineString.containsXY(2, 2)).to.be(false);
+      expect(lineString.containsXY(2, 3)).to.be(false);
+    });
+
+  });
+
 });
diff --git a/test/spec/ol/geom/multilinestring.test.js b/test/spec/ol/geom/multilinestring.test.js
index e497d21db6..9b4b9302a9 100644
--- a/test/spec/ol/geom/multilinestring.test.js
+++ b/test/spec/ol/geom/multilinestring.test.js
@@ -355,4 +355,30 @@ describe('ol.geom.MultiLineString', function() {
     });
   });
 
+  describe('#containsXY()', function() {
+
+    let multiLineString;
+    beforeEach(function() {
+      multiLineString = new MultiLineString(
+        [[[1, 2, 3], [4, 5, 6]], [[-1, -1, 9], [2, 2, 12]]]);
+    });
+
+    it('does contain XY', function() {
+      expect(multiLineString.containsXY(1, 2)).to.be(true);
+      expect(multiLineString.containsXY(4, 5)).to.be(true);
+      expect(multiLineString.containsXY(3, 4)).to.be(true);
+
+      expect(multiLineString.containsXY(-1, -1)).to.be(true);
+      expect(multiLineString.containsXY(2, 2)).to.be(true);
+      expect(multiLineString.containsXY(0, 0)).to.be(true);
+    });
+
+    it('does not contain XY', function() {
+      expect(multiLineString.containsXY(1, 3)).to.be(false);
+      expect(multiLineString.containsXY(2, 11)).to.be(false);
+      expect(multiLineString.containsXY(-2, 3)).to.be(false);
+    });
+
+  });
+
 });
diff --git a/test/spec/ol/geom/multipoint.test.js b/test/spec/ol/geom/multipoint.test.js
index bdbb32533c..206eb8dd5f 100644
--- a/test/spec/ol/geom/multipoint.test.js
+++ b/test/spec/ol/geom/multipoint.test.js
@@ -287,4 +287,27 @@ describe('ol.geom.MultiPoint', function() {
 
   });
 
+  describe('#containsXY()', function() {
+
+    it('does contain XY', function() {
+      const multi = new MultiPoint([[1, 2], [10, 20]]);
+
+      expect(multi.containsXY(1, 2)).to.be(true);
+      expect(multi.containsXY(10, 20)).to.be(true);
+    });
+
+    it('does not contain XY', function() {
+      const multi = new MultiPoint([[1, 2], [10, 20]]);
+
+      expect(multi.containsXY(1, 3)).to.be(false);
+      expect(multi.containsXY(2, 2)).to.be(false);
+      expect(multi.containsXY(2, 3)).to.be(false);
+
+      expect(multi.containsXY(10, 30)).to.be(false);
+      expect(multi.containsXY(20, 20)).to.be(false);
+      expect(multi.containsXY(20, 30)).to.be(false);
+    });
+
+  });
+
 });
diff --git a/test/spec/ol/geom/point.test.js b/test/spec/ol/geom/point.test.js
index 0f9e4e9aa6..3865b5ccd5 100644
--- a/test/spec/ol/geom/point.test.js
+++ b/test/spec/ol/geom/point.test.js
@@ -215,4 +215,22 @@ describe('ol.geom.Point', function() {
 
   });
 
+  describe('#containsXY()', function() {
+
+    it('does contain XY', function() {
+      const point = new Point([1, 2]);
+
+      expect(point.containsXY(1, 2)).to.be(true);
+    });
+
+    it('does not contain XY', function() {
+      const point = new Point([1, 2]);
+
+      expect(point.containsXY(1, 3)).to.be(false);
+      expect(point.containsXY(2, 2)).to.be(false);
+      expect(point.containsXY(2, 3)).to.be(false);
+    });
+
+  });
+
 });