diff --git a/CHANGELOG.md b/CHANGELOG.md
index 0c73abaed..c72ac303c 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -12,6 +12,7 @@ and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0
 - Added `show_error_logs` argument to `cube.execute_batch()`/`job.start_and_wait()`/... to toggle the automatic printing of error logs on failure ([#505](https://github.com/Open-EO/openeo-python-client/issues/505))
 - Added `Connection.web_editor()` to build link to the openEO backend in the openEO Web Editor
 - Add support for `log_level` in `create_job()` and `execute_job()` ([#704](https://github.com/Open-EO/openeo-python-client/issues/704))
+- Add initial support for "geometry" dimension type in `CubeMetadata` ([#705](https://github.com/Open-EO/openeo-python-client/issues/705))
 
 ### Changed
 
diff --git a/openeo/metadata.py b/openeo/metadata.py
index 8b7701579..0ded32e84 100644
--- a/openeo/metadata.py
+++ b/openeo/metadata.py
@@ -213,6 +213,19 @@ def rename_labels(self, target, source) -> Dimension:
     def rename(self, name) -> Dimension:
         return BandDimension(name=name, bands=self.bands)
 
+
+class GeometryDimension(Dimension):
+    # TODO: how to model/store labels of geometry dimension?
+    def __init__(self, name: str):
+        super().__init__(name=name, type="geometry")
+
+    def rename(self, name) -> Dimension:
+        return GeometryDimension(name=name)
+
+    def rename_labels(self, target, source) -> Dimension:
+        return GeometryDimension(name=self.name)
+
+
 class CubeMetadata:
     """
     Interface for metadata of a data cube.
@@ -229,7 +242,7 @@ def __init__(self, dimensions: Optional[List[Dimension]] = None):
         if dimensions is not None:
             for dim in self._dimensions:
                 # TODO: here we blindly pick last bands or temporal dimension if multiple. Let user choose?
-                # TODO: add spacial dimension handling?
+                # TODO: add spatial dimension handling?
                 if dim.type == "bands":
                     if isinstance(dim, BandDimension):
                         self._band_dimension = dim
@@ -284,6 +297,16 @@ def temporal_dimension(self) -> TemporalDimension:
     def spatial_dimensions(self) -> List[SpatialDimension]:
         return [d for d in self._dimensions if isinstance(d, SpatialDimension)]
 
+    def has_geometry_dimension(self):
+        return any(isinstance(d, GeometryDimension) for d in self._dimensions)
+
+    @property
+    def geometry_dimension(self) -> GeometryDimension:
+        for d in self._dimensions:
+            if isinstance(d, GeometryDimension):
+                return d
+        raise MetadataException("No geometry dimension")
+
     @property
     def bands(self) -> List[Band]:
         """Get band metadata as list of Band metadata tuples"""
@@ -365,7 +388,7 @@ def reduce_spatial(self) -> CubeMetadata:
         dimensions = [d for d in self._dimensions if not isinstance(d, SpatialDimension)]
         return self._clone_and_update(dimensions=dimensions)
 
-    def add_dimension(self, name: str, label: Union[str, float], type: str = None) -> CubeMetadata:
+    def add_dimension(self, name: str, label: Union[str, float], type: Optional[str] = None) -> CubeMetadata:
         """Create new CubeMetadata object with added dimension"""
         if any(d.name == name for d in self._dimensions):
             raise DimensionAlreadyExistsException(f"Dimension with name {name!r} already exists")
@@ -375,6 +398,8 @@ def add_dimension(self, name: str, label: Union[str, float], type: str = None) -
             dim = SpatialDimension(name=name, extent=[label, label])
         elif type == "temporal":
             dim = TemporalDimension(name=name, extent=[label, label])
+        elif type == "geometry":
+            dim = GeometryDimension(name=name)
         else:
             dim = Dimension(type=type or "other", name=name)
         return self._clone_and_update(dimensions=self._dimensions + [dim])
diff --git a/tests/test_metadata.py b/tests/test_metadata.py
index a11bc6aaa..da9280ed6 100644
--- a/tests/test_metadata.py
+++ b/tests/test_metadata.py
@@ -632,7 +632,7 @@ def test_collectionmetadata_add_band_dimension_duplicate():
         _ = metadata.add_dimension("layer", "red", "bands")
 
 
-def test_cubemetadata_add_band_dimension_dublicate():
+def test_cubemetadata_add_band_dimension_duplicate():
     metadata = CubeMetadata(dimensions=[TemporalDimension(name="t", extent=None)])
     metadata = metadata.add_dimension("layer", "red", "bands")
     with pytest.raises(DimensionAlreadyExistsException, match="Dimension with name 'layer' already exists"):
@@ -679,6 +679,20 @@ def test_cubemetadata_add_temporal_dimension_duplicate():
         _ = metadata.add_dimension("date", "2020-05-15", "temporal")
 
 
+def test_cube_metadata_add_dimension_geometry():
+    orig = CubeMetadata(dimensions=[TemporalDimension(name="t", extent=None)])
+    new = orig.add_dimension(name="fields", label="Mol", type="geometry")
+
+    assert orig.dimension_names() == ["t"]
+    assert not orig.has_geometry_dimension()
+    with pytest.raises(MetadataException):
+        orig.geometry_dimension()
+
+    assert new.dimension_names() == ["t", "fields"]
+    assert new.has_geometry_dimension()
+    assert new.geometry_dimension.name == "fields"
+    assert new.geometry_dimension.type == "geometry"
+
 def test_collectionmetadata_drop_dimension():
     metadata = CollectionMetadata(
         {