diff --git a/docs/core-features/extensions.md b/docs/core-features/extensions.md
index 967c3ae2e..ef69c2e1c 100644
--- a/docs/core-features/extensions.md
+++ b/docs/core-features/extensions.md
@@ -258,6 +258,28 @@ for x in range(10):
     assert np.array_equal(circuit.encrypt_run_decrypt(x), np.array([[x, x, x], [x, x, x]]) + 1)
 ```
 
+## fhe.constant(value)
+
+Allows you to create an encrypted constant of a given value.
+
+```python
+from concrete import fhe
+import numpy as np
+
+@fhe.compiler({"x": "encrypted", "a":"clear"})
+def f(x, a):
+    z = fhe.constant(a)
+    return x + z
+
+inputset = range(10)
+circuit = f.compile(inputset)
+
+for x in range(10):
+    assert circuit.encrypt_run_decrypt(x, 5) == x + 5
+```
+
+This extension is also compatible with constant arrays.
+
 ## fhe.hint(value, \*\*kwargs)
 
 Hint properties of a value. Imagine you have this circuit:
diff --git a/frontends/concrete-python/concrete/fhe/__init__.py b/frontends/concrete-python/concrete/fhe/__init__.py
index f82430727..70c13ed30 100644
--- a/frontends/concrete-python/concrete/fhe/__init__.py
+++ b/frontends/concrete-python/concrete/fhe/__init__.py
@@ -52,6 +52,7 @@ from .extensions import (
     LookupTable,
     array,
     bits,
+    constant,
     conv,
     hint,
     identity,
diff --git a/frontends/concrete-python/concrete/fhe/extensions/__init__.py b/frontends/concrete-python/concrete/fhe/extensions/__init__.py
index e6437e1c4..95809224b 100644
--- a/frontends/concrete-python/concrete/fhe/extensions/__init__.py
+++ b/frontends/concrete-python/concrete/fhe/extensions/__init__.py
@@ -6,6 +6,7 @@ from numpy import where as if_then_else
 
 from .array import array
 from .bits import bits
+from .constant import constant
 from .convolution import conv
 from .hint import hint
 from .identity import identity, refresh
diff --git a/frontends/concrete-python/concrete/fhe/extensions/constant.py b/frontends/concrete-python/concrete/fhe/extensions/constant.py
new file mode 100644
index 000000000..24931c894
--- /dev/null
+++ b/frontends/concrete-python/concrete/fhe/extensions/constant.py
@@ -0,0 +1,16 @@
+"""
+Declaration of `constant` functions, to allow server side trivial encryption.
+"""
+
+from typing import Any, Union
+
+from ..tracing import Tracer
+from .zeros import zeros
+
+
+def constant(x: Union[Tracer, Any]) -> Union[Tracer, Any]:
+    """
+    Trivial encryption of a cleartext value.
+    """
+
+    return zeros(() if isinstance(x, int) else x.shape) + x
diff --git a/frontends/concrete-python/tests/extensions/test_constant.py b/frontends/concrete-python/tests/extensions/test_constant.py
new file mode 100644
index 000000000..48399ee99
--- /dev/null
+++ b/frontends/concrete-python/tests/extensions/test_constant.py
@@ -0,0 +1,44 @@
+"""
+Tests of 'constant' extension.
+"""
+
+import numpy as np
+
+from concrete import fhe
+
+
+def test_constant_scalar(helpers):
+    """
+    Test that fhe.constant works with scalars.
+    """
+    configuration = helpers.configuration()
+
+    @fhe.compiler({"x": "clear", "y": "encrypted"})
+    def f(x, y):
+        return fhe.constant(x) + y
+
+    inputset = [(np.random.randint(0, 2**5), np.random.randint(0, 2**5)) for _ in range(100)]
+    circuit = f.compile(inputset, configuration.fork())
+    x = np.random.randint(0, 2**5)
+    y = np.random.randint(0, 2**5)
+    assert circuit.encrypt_run_decrypt(x, y) == x + y
+
+
+def test_constant_tensor(helpers):
+    """
+    Test that fhe.constant works with arrays.
+    """
+    configuration = helpers.configuration()
+
+    @fhe.compiler({"x": "clear", "y": "encrypted"})
+    def f(x, y):
+        return fhe.constant(x) + y
+
+    inputset = [
+        (np.random.randint(0, 2**5, size=10), np.random.randint(0, 2**5, size=10))
+        for _ in range(100)
+    ]
+    circuit = f.compile(inputset, configuration.fork())
+    x = np.random.randint(0, 2**5, size=10)
+    y = np.random.randint(0, 2**5, size=10)
+    assert np.all(circuit.encrypt_run_decrypt(x, y) == x + y)