diff --git a/src/Markup/Avalonia.Markup.Xaml/Converters/PointsListTypeConverter.cs b/src/Markup/Avalonia.Markup.Xaml/Converters/PointsListTypeConverter.cs
index 871ab77cac..099ffa8c8c 100644
--- a/src/Markup/Avalonia.Markup.Xaml/Converters/PointsListTypeConverter.cs
+++ b/src/Markup/Avalonia.Markup.Xaml/Converters/PointsListTypeConverter.cs
@@ -4,7 +4,8 @@ using System.Globalization;
 
 namespace Avalonia.Markup.Xaml.Converters
 {
-	using System.ComponentModel;
+    using System.ComponentModel;
+    using Avalonia.Utilities;
 
     public class PointsListTypeConverter : TypeConverter
     {
@@ -15,15 +16,17 @@ namespace Avalonia.Markup.Xaml.Converters
 
         public override object ConvertFrom(ITypeDescriptorContext context, CultureInfo culture, object value)
         {
-            string strValue = (string)value;
-            string[] pointStrs = strValue.Split(new[] { ' ', '\t', '\r', '\n' }, StringSplitOptions.RemoveEmptyEntries);
-            var result = new List<Point>(pointStrs.Length);
-            foreach (var pointStr in pointStrs)
+            var points = new List<Point>();
+
+            using (var tokenizer = new StringTokenizer((string)value, CultureInfo.InvariantCulture, exceptionMessage: "Invalid PointsList."))
             {
-                result.Add(Point.Parse(pointStr));
+                while (tokenizer.TryReadDouble(out double x))
+                {
+                    points.Add(new Point(x, tokenizer.ReadDouble()));
+                }
             }
 
-            return result;
+            return points;
         }
     }
 }
diff --git a/tests/Avalonia.Markup.Xaml.UnitTests/Converters/PointsListTypeConverterTests.cs b/tests/Avalonia.Markup.Xaml.UnitTests/Converters/PointsListTypeConverterTests.cs
new file mode 100644
index 0000000000..b060905f38
--- /dev/null
+++ b/tests/Avalonia.Markup.Xaml.UnitTests/Converters/PointsListTypeConverterTests.cs
@@ -0,0 +1,44 @@
+using System.Collections.Generic;
+using Avalonia.Controls.Shapes;
+using Avalonia.Markup.Xaml.Converters;
+using Xunit;
+
+namespace Avalonia.Markup.Xaml.UnitTests.Converters
+{
+    public class PointsListTypeConverterTests
+    {
+        [Theory]
+        [InlineData("1,2 3,4")]
+        [InlineData("1 2 3 4")]
+        [InlineData("1 2,3 4")]
+        [InlineData("1,2,3,4")]
+        public void TypeConverter_Should_Parse(string input)
+        {
+            var conv = new PointsListTypeConverter();
+
+            var points = (IList<Point>)conv.ConvertFrom(input);
+
+            Assert.Equal(2, points.Count);
+            Assert.Equal(new Point(1, 2), points[0]);
+            Assert.Equal(new Point(3, 4), points[1]);
+        }
+
+        [Theory]
+        [InlineData("1,2 3,4")]
+        [InlineData("1 2 3 4")]
+        [InlineData("1 2,3 4")]
+        [InlineData("1,2,3,4")]
+        public void Should_Parse_Points_in_Xaml(string input)
+        {
+            var xaml = $"<Polygon xmlns='https://github.com/avaloniaui' Points='{input}' />";
+            var loader = new AvaloniaXamlLoader();
+            var polygon = (Polygon)loader.Load(xaml);
+
+            var points = polygon.Points;
+
+            Assert.Equal(2, points.Count);
+            Assert.Equal(new Point(1, 2), points[0]);
+            Assert.Equal(new Point(3, 4), points[1]);
+        }
+    }
+}