diff --git a/astropy/modeling/tests/test_constraints.py b/astropy/modeling/tests/test_constraints.py
index 2ddcf37d607..1e7ac2a3bb8 100644
--- a/astropy/modeling/tests/test_constraints.py
+++ b/astropy/modeling/tests/test_constraints.py
@@ -14,13 +14,9 @@
 from astropy.modeling import fitting, models
 from astropy.modeling.core import Fittable1DModel
 from astropy.modeling.parameters import Parameter
-from astropy.utils import minversion
-from astropy.utils.compat.numpycompat import NUMPY_LT_2_0
 from astropy.utils.compat.optional_deps import HAS_SCIPY
 from astropy.utils.exceptions import AstropyUserWarning
 
-SCIPY_LT_1_11_2 = not minversion("scipy", "1.11.2") if HAS_SCIPY else True
-
 fitters = [
     fitting.LevMarLSQFitter,
     fitting.TRFLSQFitter,
@@ -184,6 +180,7 @@ def test_bounds_slsqp(self):
         assert intercept + 10**-5 >= bounds["intercept"][0]
         assert intercept - 10**-5 <= bounds["intercept"][1]
 
+    @pytest.mark.filterwarnings("ignore:The fit may be unsuccessful")
     @pytest.mark.parametrize("fitter", fitters)
     def test_bounds_gauss2d_lsq(self, fitter):
         fitter = fitter()
@@ -205,19 +202,13 @@ def test_bounds_gauss2d_lsq(self, fitter):
             bounds=bounds,
         )
         if isinstance(fitter, (fitting.LevMarLSQFitter, fitting.DogBoxLSQFitter)):
-            with pytest.warns(AstropyUserWarning, match="The fit may be unsuccessful"):
-                model = fitter(gauss, X, Y, self.data)
+            model = fitter(gauss, X, Y, self.data)
         else:
-            ctx2 = nullcontext()
             if isinstance(fitter, fitting.TRFLSQFitter):
                 ctx = np.errstate(invalid="ignore", divide="ignore")
-                if not NUMPY_LT_2_0 or not SCIPY_LT_1_11_2:
-                    ctx2 = pytest.warns(
-                        AstropyUserWarning, match="The fit may be unsuccessful"
-                    )
             else:
                 ctx = nullcontext()
-            with ctx, ctx2:
+            with ctx:
                 model = fitter(gauss, X, Y, self.data)
         x_mean = model.x_mean.value
         y_mean = model.y_mean.value
diff --git a/docs/changes/15234.other.rst b/docs/changes/15234.other.rst
new file mode 100644
index 00000000000..d0f6d4c2c19
--- /dev/null
+++ b/docs/changes/15234.other.rst
@@ -0,0 +1 @@
+v5.3.x will not support NumPy 2.0 or later.
diff --git a/pyproject.toml b/pyproject.toml
index f26ff7e50ab..69d746de871 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -2,7 +2,7 @@
 requires = ["setuptools",
             "setuptools_scm>=6.2",
             "cython==0.29.34",
-            "oldest-supported-numpy",
+            "numpy>=1.25,<2",
             "extension-helpers"]
 build-backend = 'setuptools.build_meta'
 
diff --git a/setup.cfg b/setup.cfg
index 015f44d4811..040dc520de7 100644
--- a/setup.cfg
+++ b/setup.cfg
@@ -28,7 +28,7 @@ packages = find:
 zip_safe = False
 tests_require = pytest-astropy
 install_requires =
-    numpy>=1.21
+    numpy>=1.21,<2
     pyerfa>=2.0
     PyYAML>=3.13
     packaging>=19.0
diff --git a/tox.ini b/tox.ini
index 09ed7a6a1c3..d20518cf5da 100644
--- a/tox.ini
+++ b/tox.ini
@@ -86,7 +86,6 @@ deps =
     # or nightly wheel of key dependencies.
     # Do not install asdf-astropy so we can test astropy.io.misc.asdf until we remove it.
     devdeps: scipy>=0.0.dev0
-    devdeps: numpy>=0.0.dev0
     devdeps: matplotlib>=0.0.dev0
     devdeps: git+https://github.com/asdf-format/asdf.git#egg=asdf
     devdeps: git+https://github.com/liberfa/pyerfa.git#egg=pyerfa