diff --git a/botorch/exceptions/errors.py b/botorch/exceptions/errors.py
index c92deb8820..a737cc8500 100644
--- a/botorch/exceptions/errors.py
+++ b/botorch/exceptions/errors.py
@@ -86,3 +86,9 @@ def __init__(self, /, *args: Any, current_x: npt.NDArray, **kwargs: Any) -> None
         """
         super().__init__(*args, **kwargs)
         self.current_x = current_x
+
+
+class InfeasibilityError(BotorchError, ValueError):
+    r"""Exception raised when infeasibility occurs."""
+
+    pass
diff --git a/botorch/utils/sampling.py b/botorch/utils/sampling.py
index f914dea24d..190ccfcd61 100644
--- a/botorch/utils/sampling.py
+++ b/botorch/utils/sampling.py
@@ -27,7 +27,7 @@
 import numpy.typing as npt
 import scipy
 import torch
-from botorch.exceptions.errors import BotorchError
+from botorch.exceptions.errors import BotorchError, InfeasibilityError
 from botorch.exceptions.warnings import UserInputWarning
 from botorch.sampling.qmc import NormalQMCEngine
 from botorch.utils.transforms import unnormalize
@@ -249,7 +249,7 @@ def sample_polytope(
     """
     # Check that starting point satisfies the constraints.
     if not ((slack := A @ x0 - b) <= 0).all():
-        raise ValueError(
+        raise InfeasibilityError(
             f"Starting point does not satisfy the constraints. Inputs: {A=},"
             f"{b=}, {x0=}, A@x0-b={slack}."
         )
@@ -442,7 +442,7 @@ def find_interior_point(
         )
 
     if result.status == 2:
-        raise ValueError(
+        raise InfeasibilityError(
             "No feasible point found. Constraint polytope appears empty. "
             + "Check your constraints."
         )
@@ -524,7 +524,7 @@ def __init__(
             if self.feasible(interior_point):
                 self.x0 = interior_point
             else:
-                raise ValueError("The given input point is not feasible.")
+                raise InfeasibilityError("The given input point is not feasible.")
         else:
             self.x0 = self.find_interior_point()
 
diff --git a/test/exceptions/test_errors.py b/test/exceptions/test_errors.py
index e0c42685eb..321a0e4a3f 100644
--- a/test/exceptions/test_errors.py
+++ b/test/exceptions/test_errors.py
@@ -11,6 +11,7 @@
     BotorchTensorDimensionError,
     CandidateGenerationError,
     DeprecationError,
+    InfeasibilityError,
     InputDataError,
     OptimizationGradientError,
     OptimizationTimeoutError,
@@ -28,6 +29,7 @@ def test_botorch_exception_hierarchy(self):
             InputDataError,
             UnsupportedError,
             BotorchTensorDimensionError,
+            InfeasibilityError,
         ]:
             self.assertIsInstance(ErrorClass(), BotorchError)
 
@@ -38,6 +40,7 @@ def test_raise_botorch_exceptions(self):
             CandidateGenerationError,
             InputDataError,
             UnsupportedError,
+            InfeasibilityError,
         ):
             with self.assertRaises(ErrorClass):
                 raise ErrorClass("message")