diff --git a/structuralcodes/materials/constitutive_laws/__init__.py b/structuralcodes/materials/constitutive_laws/__init__.py
index e2ff8f4e..97268c47 100644
--- a/structuralcodes/materials/constitutive_laws/__init__.py
+++ b/structuralcodes/materials/constitutive_laws/__init__.py
@@ -7,6 +7,7 @@
 from ._elastic import Elastic
 from ._elastic_2d import Elastic2D
 from ._elasticplastic import ElasticPlastic
+from ._elasticplastic_2d import ElasticPlastic2D
 from ._parabolarectangle import ParabolaRectangle
 from ._parabolarectangle_2d import ParabolaRectangle2D
 from ._popovics import Popovics
@@ -25,6 +26,7 @@
     'UserDefined',
     'get_constitutive_laws_list',
     'create_constitutive_law',
+    'ElasticPlastic2D',
 ]
 
 CONSTITUTIVE_LAWS: t.Dict[str, ConstitutiveLaw] = {
@@ -37,6 +39,7 @@
     'parabolarectangle2d': ParabolaRectangle2D,
     'popovics': Popovics,
     'sargin': Sargin,
+    'elasticplastic2d': ElasticPlastic2D,
 }
 
 
diff --git a/structuralcodes/materials/constitutive_laws/_elasticplastic_2d.py b/structuralcodes/materials/constitutive_laws/_elasticplastic_2d.py
new file mode 100644
index 00000000..666c796d
--- /dev/null
+++ b/structuralcodes/materials/constitutive_laws/_elasticplastic_2d.py
@@ -0,0 +1,68 @@
+"""Elastic-plastic constitutive law."""
+
+from __future__ import annotations
+
+import typing as t
+
+import numpy as np
+from numpy.typing import ArrayLike
+
+from structuralcodes.materials.constitutive_laws._elasticplastic import (
+    ElasticPlastic,
+)
+
+
+class ElasticPlastic2D(ElasticPlastic):
+    """Class for elastic-plastic Constitutive Law in 2D."""
+
+    __materials__: t.Tuple[str] = (
+        'steel',
+        'rebars',
+    )
+
+    def __init__(
+        self,
+        E: float,
+        fy: float,
+        Eh: float = 0.0,
+        eps_su: t.Optional[float] = None,
+        name: t.Optional[str] = None,
+    ) -> None:
+        """Initialize an Elastic-Plastic 2D Material.
+
+        Arguments:
+            E (float): The elastic modulus.
+            fy (float): The yield strength.
+
+        Keyword Arguments:
+            Eh (float): The hardening modulus.
+            eps_su (float): The ultimate strain.
+            name (str): A descriptive name for the constitutive law.
+        """
+        name = name if name is not None else 'ElasticPlasticLaw2D'
+        super().__init__(E=E, fy=fy, Eh=Eh, eps_su=eps_su, name=name)
+
+    @property
+    def E(self) -> float:
+        """Return the elastic modulus."""
+        return self._E
+
+    @property
+    def C_s(self) -> np.ndarray:
+        """Return the 2D constitutive matrix."""
+        return self.E * np.array(
+            [
+                [1.0, 0.0, 0.0],
+                [0.0, 1.0, 0.0],
+                [0.0, 0.0, 0.0],
+            ]
+        )
+
+    def get_stress(self, eps: ArrayLike) -> np.ndarray:
+        """Return the stress given strain."""
+        sig_s = super().get_stress(eps)
+        return sig_s @ self.C_s / self.E
+
+    def get_tangent(self) -> np.ndarray:
+        """Compute the 3x3 tangent stiffness matrix C."""
+        return self.C_s
diff --git a/tests/test_materials/test_elasticplastid_2d.py b/tests/test_materials/test_elasticplastid_2d.py
new file mode 100644
index 00000000..d5f85f30
--- /dev/null
+++ b/tests/test_materials/test_elasticplastid_2d.py
@@ -0,0 +1,63 @@
+"""Tests for the ElasticPlastic2D class."""
+
+import numpy as np
+import pytest
+
+from structuralcodes.materials.constitutive_laws import ElasticPlastic2D
+
+
+def test_elasticplastic_2d_init():
+    """Test elasticplastic 2D material."""
+    mat = ElasticPlastic2D(210000, 410)
+    assert mat.E == 210000
+    assert mat._fy == 410
+    assert mat._Eh == 0.0
+    assert mat._eps_su is None
+    assert mat.name == 'ElasticPlasticLaw2D'
+
+
+@pytest.mark.parametrize(
+    'E, fy, strain',
+    [
+        (210000, 410, np.array([0.001, 0.0, 0.0])),
+        (210000, 410, np.array([-0.002, -0.1, -0.002])),
+        (200000, 450, np.array([0.003, 0.005, 0.010])),
+    ],
+)
+def test_elasticplastic_2d_get_stress(E, fy, strain):
+    """Test elasticplastic 2D material."""
+    mat = ElasticPlastic2D(E, fy)
+    actual = mat.get_stress(strain)
+
+    expected = np.array(
+        [
+            np.clip(E * strain[0], -fy, +fy),
+            np.clip(E * strain[1], -fy, +fy),
+            0.0,
+        ]
+    )
+
+    assert np.allclose(actual, expected, atol=1e-8)
+
+
+def test_elasticplastic_2d_input_correct():
+    """Test invalid input values for ElasticPlastic2D."""
+    with pytest.raises(ValueError) as excinfo:
+        ElasticPlastic2D(-210000, 500)
+    assert str(excinfo.value) == 'Elastic modulus E must be greater than zero'
+
+
+@pytest.mark.parametrize(
+    'E, fy',
+    [
+        (210000, 500),
+        (200000, 500),
+        (195000, 500),
+    ],
+)
+def test_elasticplastic_get_tangent(E, fy):
+    """Test the elasticPlastic2D tangent matrix."""
+    assert np.allclose(
+        ElasticPlastic2D(E, fy).get_tangent(),
+        np.array([[E, 0, 0], [0, E, 0], [0, 0, 0]]),
+    )