diff --git a/cpp/open3d/geometry/BoundingVolume.h b/cpp/open3d/geometry/BoundingVolume.h
index 9050304edac..f82c02dceff 100644
--- a/cpp/open3d/geometry/BoundingVolume.h
+++ b/cpp/open3d/geometry/BoundingVolume.h
@@ -117,7 +117,8 @@ class OrientedBoundingBox : public Geometry3D {
     /// bounding box that could be computed for example with O'Rourke's
     /// algorithm (cf. http://cs.smith.edu/~jorourke/Papers/MinVolBox.pdf,
     /// https://www.geometrictools.com/Documentation/MinimumVolumeBox.pdf)
-    /// \param points The input points
+    /// \param points A list of points with data type of float32 or float64 (N x
+    /// 3 tensor, where N must be larger than 3).
     /// \param robust If set to true uses a more robust method which works
     ///               in degenerate cases but introduces noise to the points
     ///               coordinates.
@@ -130,7 +131,8 @@ class OrientedBoundingBox : public Geometry3D {
     /// bounding box: for each triangle in the convex hull, calculate
     /// the minimal axis aligned box in the frame of that triangle.
     /// at the end, return the box with the smallest volume
-    /// \param points The input points
+    /// \param points A list of points with data type of float32 or float64 (N x
+    /// 3 tensor, where N must be larger than 3).
     /// \param robust If set to true uses a more robust method which works
     ///               in degenerate cases but introduces noise to the points
     ///               coordinates.
@@ -144,7 +146,8 @@ class OrientedBoundingBox : public Geometry3D {
     /// The original implementation can be found at the following address:
     /// https://github.com/juj/MathGeoLib/blob/55053da5e3e55a83043af7324944407b174c3724/src/Geometry/OBB.cpp#L987
     ///
-    /// \param points The input points
+    /// \param points A list of points with data type of float32 or float64 (N x
+    /// 3 tensor, where N must be larger than 3).
     /// \param robust If set to true uses a more robust method which works
     ///               in degenerate cases but introduces noise to the points
     ///               coordinates.
diff --git a/cpp/open3d/t/geometry/BoundingVolume.cpp b/cpp/open3d/t/geometry/BoundingVolume.cpp
index ad357608442..0b8db5c2f4f 100644
--- a/cpp/open3d/t/geometry/BoundingVolume.cpp
+++ b/cpp/open3d/t/geometry/BoundingVolume.cpp
@@ -576,6 +576,30 @@ OrientedBoundingBox OrientedBoundingBox::CreateFromPoints(
             points.GetDtype(), points.GetDevice());
 }
 
+OrientedBoundingBox OrientedBoundingBox::CreateFromPointsMinimalApprox(
+        const core::Tensor &points, bool robust) {
+    core::AssertTensorShape(points, {utility::nullopt, 3});
+    core::AssertTensorDtypes(points, {core::Float32, core::Float64});
+    return OrientedBoundingBox::FromLegacy(
+            open3d::geometry::OrientedBoundingBox::
+                    CreateFromPointsMinimalApprox(
+                            core::eigen_converter::TensorToEigenVector3dVector(
+                                    points),
+                            robust),
+            points.GetDtype(), points.GetDevice());
+}
+
+OrientedBoundingBox OrientedBoundingBox::CreateFromPointsMinimal(
+        const core::Tensor &points, bool robust) {
+    core::AssertTensorShape(points, {utility::nullopt, 3});
+    core::AssertTensorDtypes(points, {core::Float32, core::Float64});
+    return OrientedBoundingBox::FromLegacy(
+            open3d::geometry::OrientedBoundingBox::CreateFromPointsMinimal(
+                    core::eigen_converter::TensorToEigenVector3dVector(points),
+                    robust),
+            points.GetDtype(), points.GetDevice());
+}
+
 }  // namespace geometry
 }  // namespace t
 }  // namespace open3d
diff --git a/cpp/open3d/t/geometry/BoundingVolume.h b/cpp/open3d/t/geometry/BoundingVolume.h
index 0f3a3afa16b..7d755991b25 100644
--- a/cpp/open3d/t/geometry/BoundingVolume.h
+++ b/cpp/open3d/t/geometry/BoundingVolume.h
@@ -460,6 +460,36 @@ class OrientedBoundingBox : public Geometry, public DrawableGeometry {
     static OrientedBoundingBox CreateFromPoints(const core::Tensor &points,
                                                 bool robust = false);
 
+    /// Creates the oriented bounding box with the smallest volume.
+    /// The algorithm makes use of the fact that at least one edge of
+    /// the convex hull must be collinear with an edge of the minimum
+    /// bounding box: for each triangle in the convex hull, calculate
+    /// the minimal axis aligned box in the frame of that triangle.
+    /// at the end, return the box with the smallest volume
+    /// \param points A list of points with data type of float32 or float64 (N x
+    /// 3 tensor, where N must be larger than 3).
+    /// \param robust If set to true uses a more robust method which works
+    ///               in degenerate cases but introduces noise to the points
+    ///               coordinates.
+
+    static OrientedBoundingBox CreateFromPointsMinimalApprox(
+            const core::Tensor &points, bool robust = false);
+
+    /// Creates the oriented bounding box with the smallest volume.
+    /// This algorithm is inspired by the article "An Exact Algorithm for
+    /// Finding Minimum Oriented Bounding Boxes" written by Jukka Jylänki.
+    /// The original implementation can be found at the following address:
+    /// https://github.com/juj/MathGeoLib/blob/55053da5e3e55a83043af7324944407b174c3724/src/Geometry/OBB.cpp#L987
+    ///
+    /// \param points A list of points with data type of float32 or float64 (N x
+    /// 3 tensor, where N must be larger than 3).
+    /// \param robust If set to true uses a more robust method which works
+    ///               in degenerate cases but introduces noise to the points
+    ///               coordinates.
+
+    static OrientedBoundingBox CreateFromPointsMinimal(
+            const core::Tensor &points, bool robust = false);
+
 protected:
     core::Device device_ = core::Device("CPU:0");
     core::Dtype dtype_ = core::Float32;
diff --git a/cpp/pybind/geometry/boundingvolume.cpp b/cpp/pybind/geometry/boundingvolume.cpp
index 6436fd9dd6b..128e50a992b 100644
--- a/cpp/pybind/geometry/boundingvolume.cpp
+++ b/cpp/pybind/geometry/boundingvolume.cpp
@@ -84,7 +84,7 @@ The returned bounding box is an approximation to the minimal bounding box.
      bounding box is oriented such that the axes are ordered with respect to
      the principal components.
 )doc")
-            .def_static("create_from_points_approx",
+            .def_static("create_from_points_minimal_approx",
                         &OrientedBoundingBox::CreateFromPointsMinimalApprox,
                         "points"_a, "robust"_a = false,
                         R"doc(
diff --git a/cpp/pybind/t/geometry/boundingvolume.cpp b/cpp/pybind/t/geometry/boundingvolume.cpp
index ed973e739d5..a2d59fae6e6 100644
--- a/cpp/pybind/t/geometry/boundingvolume.cpp
+++ b/cpp/pybind/t/geometry/boundingvolume.cpp
@@ -323,6 +323,24 @@ that could be computed for example with O'Rourke's algorithm
 (cf. http://cs.smith.edu/~jorourke/Papers/MinVolBox.pdf, https://www.geometrictools.com/Documentation/MinimumVolumeBox.pdf)
 This is a wrapper for a CPU implementation.)",
                    "points"_a, "robust"_a = false);
+    obb.def_static("create_from_points_minimal_approx",
+                   &OrientedBoundingBox::CreateFromPointsMinimalApprox,
+                   R"(Creates the oriented bounding box with optimized (but not 
+necessarily smallest) volume. The algorithm makes use of the fact that at least one 
+edge of the convex hull must be collinear with an edge of the minimum bounding box: 
+for each triangle in the convex hull, calculate the minimal axis aligned box in the 
+frame of that triangle. at the end, return the box with optimized (but not 
+necessarily smallest) volume. This is a wrapper for a CPU implementation.)",
+                   "points"_a, "robust"_a = false);
+    obb.def_static(
+            "create_from_points_minimal",
+            &OrientedBoundingBox::CreateFromPointsMinimal,
+            R"(Creates the oriented bounding box with the smallest volume.
+The algorithm creates the oriented bounding box with the smallest volume.
+It is inspired by the article "An Exact Algorithm for Finding Minimum 
+Oriented Bounding Boxes" written by Jukka Jylänki. 
+This is a wrapper for a CPU implementation.)",
+            "points"_a, "robust"_a = false);
 
     docstring::ClassMethodDocInject(
             m, "OrientedBoundingBox", "set_center",