diff --git a/src/ol/Graticule.js b/src/ol/Graticule.js
index 431e9c12df..3235b67183 100644
--- a/src/ol/Graticule.js
+++ b/src/ol/Graticule.js
@@ -360,9 +360,13 @@ Graticule.prototype.getMeridianPoint_ = function(lineString, extent, index) {
     extent[1] + Math.abs(extent[1] - extent[3]) * this.lonLabelPosition_,
     clampedBottom, clampedTop);
   const coordinate = [flatCoordinates[0], lat];
-  const point = this.meridiansLabels_[index] !== undefined ?
-    this.meridiansLabels_[index].geom : new Point(null);
-  point.setCoordinates(coordinate);
+  let point;
+  if (index in this.meridiansLabels_) {
+    point = this.meridiansLabels_[index];
+    point.setCoordinates(coordinate);
+  } else {
+    point = new Point(coordinate);
+  }
   return point;
 };
 
@@ -408,9 +412,13 @@ Graticule.prototype.getParallelPoint_ = function(lineString, extent, index) {
     extent[0] + Math.abs(extent[0] - extent[2]) * this.latLabelPosition_,
     clampedLeft, clampedRight);
   const coordinate = [lon, flatCoordinates[1]];
-  const point = this.parallelsLabels_[index] !== undefined ?
-    this.parallelsLabels_[index].geom : new Point(null);
-  point.setCoordinates(coordinate);
+  let point;
+  if (index in this.parallelsLabels_) {
+    point = this.parallelsLabels_[index];
+    point.setCoordinates(coordinate);
+  } else {
+    point = new Point(coordinate);
+  }
   return point;
 };
 
diff --git a/src/ol/format/GMLBase.js b/src/ol/format/GMLBase.js
index cf4858d093..03597cb395 100644
--- a/src/ol/format/GMLBase.js
+++ b/src/ol/format/GMLBase.js
@@ -291,9 +291,7 @@ GMLBase.prototype.readFeatureElement = function(node, objectStack) {
 GMLBase.prototype.readPoint = function(node, objectStack) {
   const flatCoordinates = this.readFlatCoordinatesFromNode_(node, objectStack);
   if (flatCoordinates) {
-    const point = new Point(null);
-    point.setFlatCoordinates(GeometryLayout.XYZ, flatCoordinates);
-    return point;
+    return new Point(flatCoordinates, GeometryLayout.XYZ);
   }
 };
 
diff --git a/src/ol/format/KML.js b/src/ol/format/KML.js
index 4e0c3185fe..242fe65297 100644
--- a/src/ol/format/KML.js
+++ b/src/ol/format/KML.js
@@ -1144,8 +1144,7 @@ function readPoint(node, objectStack) {
   const flatCoordinates =
       readFlatCoordinatesFromNode(node, objectStack);
   if (flatCoordinates) {
-    const point = new Point(null);
-    point.setFlatCoordinates(GeometryLayout.XYZ, flatCoordinates);
+    const point = new Point(flatCoordinates, GeometryLayout.XYZ);
     point.setProperties(properties);
     return point;
   } else {
diff --git a/src/ol/format/MVT.js b/src/ol/format/MVT.js
index c111de9376..a4ff3766d3 100644
--- a/src/ol/format/MVT.js
+++ b/src/ol/format/MVT.js
@@ -339,14 +339,14 @@ MVT.prototype.createFeature_ = function(pbf, rawFeature, opt_options) {
         geom = new Polygon(flatCoordinates, GeometryLayout.XY, ends);
       }
     } else {
-      geom = geometryType === GeometryType.POINT ? new Point(null) :
+      geom = geometryType === GeometryType.POINT ? new Point(flatCoordinates, GeometryLayout.XY) :
         geometryType === GeometryType.LINE_STRING ? new LineString(null) :
           geometryType === GeometryType.POLYGON ? new Polygon(flatCoordinates, GeometryLayout.XY, ends) :
             geometryType === GeometryType.MULTI_POINT ? new MultiPoint (null) :
               geometryType === GeometryType.MULTI_LINE_STRING ? new MultiLineString(null) :
                 null;
     }
-    if (geometryType !== GeometryType.POLYGON) {
+    if (geometryType !== GeometryType.POLYGON && geometryType !== GeometryType.POINT) {
       geom.setFlatCoordinates(GeometryLayout.XY, flatCoordinates, ends);
     }
     feature = new this.featureClass_();
diff --git a/src/ol/geom/MultiPoint.js b/src/ol/geom/MultiPoint.js
index c69e250c31..61fdab1f1f 100644
--- a/src/ol/geom/MultiPoint.js
+++ b/src/ol/geom/MultiPoint.js
@@ -105,10 +105,8 @@ MultiPoint.prototype.getPoint = function(index) {
   if (index < 0 || n <= index) {
     return null;
   }
-  const point = new Point(null);
-  point.setFlatCoordinates(this.layout, this.flatCoordinates.slice(
-    index * this.stride, (index + 1) * this.stride));
-  return point;
+  return new Point(this.flatCoordinates.slice(
+    index * this.stride, (index + 1) * this.stride), this.layout);
 };
 
 
@@ -124,8 +122,7 @@ MultiPoint.prototype.getPoints = function() {
   /** @type {Array.<module:ol/geom/Point>} */
   const points = [];
   for (let i = 0, ii = flatCoordinates.length; i < ii; i += stride) {
-    const point = new Point(null);
-    point.setFlatCoordinates(layout, flatCoordinates.slice(i, i + stride));
+    const point = new Point(flatCoordinates.slice(i, i + stride), layout);
     points.push(point);
   }
   return points;
diff --git a/src/ol/geom/Point.js b/src/ol/geom/Point.js
index 88ac1f9907..dd1548189e 100644
--- a/src/ol/geom/Point.js
+++ b/src/ol/geom/Point.js
@@ -3,7 +3,6 @@
  */
 import {inherits} from '../util.js';
 import {createOrUpdateFromCoordinate, containsXY} from '../extent.js';
-import GeometryLayout from '../geom/GeometryLayout.js';
 import GeometryType from '../geom/GeometryType.js';
 import SimpleGeometry from '../geom/SimpleGeometry.js';
 import {deflateCoordinate} from '../geom/flat/deflate.js';
@@ -34,8 +33,7 @@ inherits(Point, SimpleGeometry);
  * @api
  */
 Point.prototype.clone = function() {
-  const point = new Point(null);
-  point.setFlatCoordinates(this.layout, this.flatCoordinates.slice());
+  const point = new Point(this.flatCoordinates.slice(), this.layout);
   return point;
 };
 
@@ -101,26 +99,13 @@ Point.prototype.intersectsExtent = function(extent) {
  * @api
  */
 Point.prototype.setCoordinates = function(coordinates, opt_layout) {
-  if (!coordinates) {
-    this.setFlatCoordinates(GeometryLayout.XY, null);
-  } else {
-    this.setLayout(opt_layout, coordinates, 0);
-    if (!this.flatCoordinates) {
-      this.flatCoordinates = [];
-    }
-    this.flatCoordinates.length = deflateCoordinate(
-      this.flatCoordinates, 0, coordinates, this.stride);
-    this.changed();
+  this.setLayout(opt_layout, coordinates, 0);
+  if (!this.flatCoordinates) {
+    this.flatCoordinates = [];
   }
-};
-
-
-/**
- * @param {module:ol/geom/GeometryLayout} layout Layout.
- * @param {Array.<number>} flatCoordinates Flat coordinates.
- */
-Point.prototype.setFlatCoordinates = function(layout, flatCoordinates) {
-  this.setFlatCoordinatesInternal(layout, flatCoordinates);
+  this.flatCoordinates.length = deflateCoordinate(
+    this.flatCoordinates, 0, coordinates, this.stride);
   this.changed();
 };
+
 export default Point;
diff --git a/src/ol/geom/SimpleGeometry.js b/src/ol/geom/SimpleGeometry.js
index d8849f057e..41ed58def6 100644
--- a/src/ol/geom/SimpleGeometry.js
+++ b/src/ol/geom/SimpleGeometry.js
@@ -214,7 +214,7 @@ SimpleGeometry.prototype.setFlatCoordinatesInternal = function(layout, flatCoord
 
 /**
  * @abstract
- * @param {Array} coordinates Coordinates.
+ * @param {!Array} coordinates Coordinates.
  * @param {module:ol/geom/GeometryLayout=} opt_layout Layout.
  */
 SimpleGeometry.prototype.setCoordinates = function(coordinates, opt_layout) {};
diff --git a/test/spec/ol/geom/point.test.js b/test/spec/ol/geom/point.test.js
index 57b1971846..0f9e4e9aa6 100644
--- a/test/spec/ol/geom/point.test.js
+++ b/test/spec/ol/geom/point.test.js
@@ -3,10 +3,10 @@ import Point from '../../../../src/ol/geom/Point.js';
 
 describe('ol.geom.Point', function() {
 
-  it('can be constructed with a null geometry', function() {
+  it('cannot be constructed with a null geometry', function() {
     expect(function() {
       return new Point(null);
-    }).not.to.throwException();
+    }).to.throwException();
   });
 
   describe('construct with 2D coordinates', function() {