diff --git a/bindings/Modules/src/SofaPython3/SofaDeformable/Binding_CauchyStress.cpp b/bindings/Modules/src/SofaPython3/SofaDeformable/Binding_CauchyStress.cpp
new file mode 100644
index 00000000..2a9b2250
--- /dev/null
+++ b/bindings/Modules/src/SofaPython3/SofaDeformable/Binding_CauchyStress.cpp
@@ -0,0 +1,112 @@
+/******************************************************************************
+*                              SofaPython3 plugin                             *
+*                  (c) 2021 CNRS, University of Lille, INRIA                  *
+*                                                                             *
+* This program is free software; you can redistribute it and/or modify it     *
+* under the terms of the GNU Lesser General Public License as published by    *
+* the Free Software Foundation; either version 2.1 of the License, or (at     *
+* your option) any later version.                                             *
+*                                                                             *
+* This program is distributed in the hope that it will be useful, but WITHOUT *
+* ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or       *
+* FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License *
+* for more details.                                                           *
+*                                                                             *
+* You should have received a copy of the GNU Lesser General Public License    *
+* along with this program. If not, see <http://www.gnu.org/licenses/>.        *
+*******************************************************************************
+* Contact information: contact@sofa-framework.org                             *
+******************************************************************************/
+#include <SofaPython3/SofaDeformable/Binding_CauchyStress.h>
+
+#include <pybind11/numpy.h>
+
+#include <sofa/component/solidmechanics/fem/elastic/CauchyStressEvaluator.h>
+#include <sofa/core/objectmodel/Base.h>
+#include <sofa/defaulttype/VecTypes.h>
+#include <sofa/type/VoigtNotation.h>
+
+#include <string>
+
+// Bindings for CauchyStressEvaluator: the Cauchy stress a force field or a material reports for given
+// deformation gradients.
+
+namespace sofapython3
+{
+namespace py = pybind11;
+
+using RealArray = py::array_t<SReal, py::array::c_style | py::array::forcecast>;
+
+template <class DataTypes>
+static py::array_t<SReal> computeCauchyStressFor(sofa::core::objectmodel::Base* component,
+                                                const RealArray& deformationGradientsArray)
+{
+    using Evaluator = sofa::component::solidmechanics::fem::elastic::CauchyStressEvaluator<DataTypes>;
+    constexpr py::ssize_t dim = DataTypes::spatial_dimensions;
+
+    auto* evaluator = dynamic_cast<Evaluator*>(component);
+    if (!evaluator)
+        throw py::type_error("computeCauchyStress: '" + component->getName()
+                             + "' is not a CauchyStressEvaluator<" + DataTypes::Name() + ">");
+
+    const auto deformationGradients = deformationGradientsArray.unchecked<4>();   // (nbElements, Q, dim, dim)
+    const py::ssize_t nbElements = deformationGradients.shape(0);
+    const py::ssize_t Q = deformationGradients.shape(1);
+
+    py::array_t<SReal> stress({nbElements, Q, dim, dim});
+    auto stressView = stress.mutable_unchecked<4>();
+
+    typename Evaluator::DeformationGradient F;
+    for (py::ssize_t e = 0; e < nbElements; ++e)
+    {
+        for (py::ssize_t q = 0; q < Q; ++q)
+        {
+            for (auto i = 0; i < dim; ++i)
+                for (auto j = 0; j < dim; ++j)
+                    F(i, j) = deformationGradients(e, q, i, j);
+
+            const auto stressVoigt = evaluator->computeStress(F, static_cast<sofa::Size>(e));
+            for (sofa::Size v = 0; v < sofa::type::NumberOfIndependentElements<dim>; ++v)
+            {
+                const auto [i, j] = sofa::type::toTensorIndices<dim>(v);
+                stressView(e, q, i, j) = stressVoigt[v];
+                stressView(e, q, j, i) = stressVoigt[v];
+            }
+        }
+    }
+    return stress;
+}
+
+static py::array_t<SReal> computeCauchyStress(sofa::core::objectmodel::Base* component,
+                                             RealArray deformationGradients)
+{
+    using namespace sofa::defaulttype;
+
+    if (!component)
+        throw py::value_error("computeCauchyStress: component is None");
+
+    if (deformationGradients.ndim() != 4 || deformationGradients.shape(2) != deformationGradients.shape(3))
+        throw py::value_error("computeCauchyStress: deformationGradients must be a 4D array "
+                              "(nb_elements, nb_quadrature_points, spatial_dimension, spatial_dimension)");
+
+    switch (deformationGradients.shape(3))
+    {
+        case 1: return computeCauchyStressFor<Vec1Types>(component, deformationGradients);
+        case 2: return computeCauchyStressFor<Vec2Types>(component, deformationGradients);
+        case 3: return computeCauchyStressFor<Vec3Types>(component, deformationGradients);
+        default:
+            throw py::value_error("computeCauchyStress: unsupported dimension "
+                                  + std::to_string(deformationGradients.shape(3)));
+    }
+}
+
+void moduleAddCauchyStress(py::module& m)
+{
+    m.def("computeCauchyStress", &computeCauchyStress,
+          py::arg("component"), py::arg("deformationGradients"),
+          "Cauchy stress reported by a CauchyStressEvaluator (a force field or a material) for deformation "
+          "gradients of shape (nb_elements, nb_quadrature_points, spatial_dimension, spatial_dimension), "
+          "element e being the component's element e: returns the full symmetric stress tensors, same shape.");
+}
+
+} // namespace sofapython3
diff --git a/bindings/Modules/src/SofaPython3/SofaDeformable/Binding_CauchyStress.h b/bindings/Modules/src/SofaPython3/SofaDeformable/Binding_CauchyStress.h
new file mode 100644
index 00000000..b9de4549
--- /dev/null
+++ b/bindings/Modules/src/SofaPython3/SofaDeformable/Binding_CauchyStress.h
@@ -0,0 +1,27 @@
+/******************************************************************************
+*                              SofaPython3 plugin                             *
+*                  (c) 2021 CNRS, University of Lille, INRIA                  *
+*                                                                             *
+* This program is free software; you can redistribute it and/or modify it     *
+* under the terms of the GNU Lesser General Public License as published by    *
+* the Free Software Foundation; either version 2.1 of the License, or (at     *
+* your option) any later version.                                             *
+*                                                                             *
+* This program is distributed in the hope that it will be useful, but WITHOUT *
+* ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or       *
+* FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License *
+* for more details.                                                           *
+*                                                                             *
+* You should have received a copy of the GNU Lesser General Public License    *
+* along with this program. If not, see <http://www.gnu.org/licenses/>.        *
+*******************************************************************************
+* Contact information: contact@sofa-framework.org                             *
+******************************************************************************/
+#pragma once
+
+#include <pybind11/pybind11.h>
+
+namespace sofapython3
+{
+void moduleAddCauchyStress(pybind11::module& m);
+}
diff --git a/bindings/Modules/src/SofaPython3/SofaDeformable/CMakeLists.txt b/bindings/Modules/src/SofaPython3/SofaDeformable/CMakeLists.txt
index 26b5c7eb..c884ff1a 100644
--- a/bindings/Modules/src/SofaPython3/SofaDeformable/CMakeLists.txt
+++ b/bindings/Modules/src/SofaPython3/SofaDeformable/CMakeLists.txt
@@ -1,6 +1,7 @@
 project(Bindings.Modules.SofaDeformable)
 
 set(SOURCE_FILES
+    ${CMAKE_CURRENT_SOURCE_DIR}/Binding_CauchyStress.cpp
     ${CMAKE_CURRENT_SOURCE_DIR}/Binding_LameParameters.cpp
     ${CMAKE_CURRENT_SOURCE_DIR}/Binding_LinearSpring.cpp
     ${CMAKE_CURRENT_SOURCE_DIR}/Binding_SpringForceField.cpp
@@ -8,6 +9,7 @@ set(SOURCE_FILES
 )
 
 set(HEADER_FILES
+    ${CMAKE_CURRENT_SOURCE_DIR}/Binding_CauchyStress.h
     ${CMAKE_CURRENT_SOURCE_DIR}/Binding_LameParameters.h
     ${CMAKE_CURRENT_SOURCE_DIR}/Binding_LinearSpring.h
     ${CMAKE_CURRENT_SOURCE_DIR}/Binding_LinearSpring_doc.h
diff --git a/bindings/Modules/src/SofaPython3/SofaDeformable/Module_SofaDeformable.cpp b/bindings/Modules/src/SofaPython3/SofaDeformable/Module_SofaDeformable.cpp
index c99c636e..09b58d72 100644
--- a/bindings/Modules/src/SofaPython3/SofaDeformable/Module_SofaDeformable.cpp
+++ b/bindings/Modules/src/SofaPython3/SofaDeformable/Module_SofaDeformable.cpp
@@ -22,6 +22,7 @@
 #include <SofaPython3/SofaDeformable/Binding_LinearSpring.h>
 #include <SofaPython3/SofaDeformable/Binding_SpringForceField.h>
 #include <SofaPython3/SofaDeformable/Binding_LameParameters.h>
+#include <SofaPython3/SofaDeformable/Binding_CauchyStress.h>
 
 
 namespace py { using namespace pybind11; }
@@ -36,6 +37,7 @@ PYBIND11_MODULE(SofaDeformable, m)
     moduleAddLinearSpring(m);
     moduleAddSpringForceField(m);
     moduleAddLameParameters(m);
+    moduleAddCauchyStress(m);
 }
 
 } // namespace sofapython3