diff --git a/src/lib.rs b/src/lib.rs
index 5a5132d..b6f3f67 100644
--- a/src/lib.rs
+++ b/src/lib.rs
@@ -168,6 +168,35 @@ where
                 let x = <Point<T> as FromTokens<T>>::from_tokens_with_parens(tokens);
                 x.map(|y| y.as_item())
             }
+            w if w.eq_ignore_ascii_case("POINTZ") => {
+                let x = <Point<T> as FromTokens<T>>::from_tokens_with_parens(tokens)?;
+                if let Some(coord) = &x.0 {
+                    if coord.z.is_none() {
+                        return Err("POINTZ must have a z-coordinate.");
+                    }
+                }
+                Ok(x.as_item())
+            }
+            w if w.eq_ignore_ascii_case("POINTM") => {
+                let mut x = <Point<T> as FromTokens<T>>::from_tokens_with_parens(tokens)?;
+                if let Some(coord) = &mut x.0 {
+                    if coord.z.is_none() {
+                        return Err("POINTM must have an m-coordinate.");
+                    } else {
+                        coord.m = coord.z.take();
+                    }
+                }
+                Ok(x.as_item())
+            }
+            w if w.eq_ignore_ascii_case("POINTZM") => {
+                let x = <Point<T> as FromTokens<T>>::from_tokens_with_parens(tokens)?;
+                if let Some(coord) = &x.0 {
+                    if coord.z.is_none() || coord.m.is_none() {
+                        return Err("POINTZM must have both a z- and m-coordinate");
+                    }
+                }
+                Ok(x.as_item())
+            }
             w if w.eq_ignore_ascii_case("LINESTRING") || w.eq_ignore_ascii_case("LINEARRING") => {
                 let x = <LineString<T> as FromTokens<T>>::from_tokens_with_parens(tokens);
                 x.map(|y| y.as_item())
@@ -360,6 +389,57 @@ mod tests {
         );
     }
 
+    #[test]
+    fn test_points() {
+        // point(x, y)
+        let wkt = <Wkt<f64>>::from_str("POINT (10 20.1)").ok().unwrap();
+        match wkt.item {
+            Geometry::Point(Point(Some(coord))) => {
+                assert_eq!(coord.x, 10.0);
+                assert_eq!(coord.y, 20.1);
+                assert_eq!(coord.z, None);
+                assert_eq!(coord.m, None);
+            }
+            _ => panic!("excepted to be parsed as a POINT"),
+        }
+
+        // point(x, y, z)
+        let wkt = <Wkt<f64>>::from_str("POINTZ (10 20.1 5)").ok().unwrap();
+        match wkt.item {
+            Geometry::Point(Point(Some(coord))) => {
+                assert_eq!(coord.x, 10.0);
+                assert_eq!(coord.y, 20.1);
+                assert_eq!(coord.z, Some(5.0));
+                assert_eq!(coord.m, None);
+            }
+            _ => panic!("excepted to be parsed as a POINT"),
+        }
+
+        // point(x, y, m)
+        let wkt = <Wkt<f64>>::from_str("POINTM (10 20.1 80)").ok().unwrap();
+        match wkt.item {
+            Geometry::Point(Point(Some(coord))) => {
+                assert_eq!(coord.x, 10.0);
+                assert_eq!(coord.y, 20.1);
+                assert_eq!(coord.z, None);
+                assert_eq!(coord.m, Some(80.0));
+            }
+            _ => panic!("excepted to be parsed as a POINT"),
+        }
+
+        // point(x, y, z, m)
+        let wkt = <Wkt<f64>>::from_str("POINTZM (10 20.1 5 80)").ok().unwrap();
+        match wkt.item {
+            Geometry::Point(Point(Some(coord))) => {
+                assert_eq!(coord.x, 10.0);
+                assert_eq!(coord.y, 20.1);
+                assert_eq!(coord.z, Some(5.0));
+                assert_eq!(coord.m, Some(80.0));
+            }
+            _ => panic!("excepted to be parsed as a POINT"),
+        }
+    }
+
     #[test]
     fn support_jts_linearring() {
         let wkt: Wkt<f64> = Wkt::from_str("linearring (10 20, 30 40)").ok().unwrap();
diff --git a/src/types/coord.rs b/src/types/coord.rs
index e740ed9..bb42c9e 100644
--- a/src/types/coord.rs
+++ b/src/types/coord.rs
@@ -57,12 +57,25 @@ where
             Some(Token::Number(n)) => n,
             _ => return Err("Expected a number for the Y coordinate"),
         };
-        Ok(Coord {
-            x,
-            y,
-            z: None,
-            m: None,
-        })
+
+        let mut z = None;
+        let mut m = None;
+
+        if let Some(Ok(Token::Number(_))) = tokens.peek() {
+            z = match tokens.next().transpose()? {
+                Some(Token::Number(n)) => Some(n),
+                _ => None,
+            };
+
+            if let Some(Ok(Token::Number(_))) = tokens.peek() {
+                m = match tokens.next().transpose()? {
+                    Some(Token::Number(n)) => Some(n),
+                    _ => None,
+                };
+            }
+        }
+
+        Ok(Coord { x, y, z, m })
     }
 }
 
diff --git a/src/types/point.rs b/src/types/point.rs
index 3239637..66b3ebc 100644
--- a/src/types/point.rs
+++ b/src/types/point.rs
@@ -104,7 +104,6 @@ mod tests {
         <Wkt<f64>>::from_str("POINT ()").err().unwrap();
         <Wkt<f64>>::from_str("POINT (10)").err().unwrap();
         <Wkt<f64>>::from_str("POINT 10").err().unwrap();
-        <Wkt<f64>>::from_str("POINT (10 -20 40)").err().unwrap();
     }
 
     #[test]