diff --git a/asv_bench/benchmarks/indexing.py b/asv_bench/benchmarks/indexing.py
index 15e691d46f693..7d34b6aa9372f 100644
--- a/asv_bench/benchmarks/indexing.py
+++ b/asv_bench/benchmarks/indexing.py
@@ -47,7 +47,7 @@ def time_getitem_scalar(self, index, index_structure):
         self.data[800000]
 
     def time_getitem_slice(self, index, index_structure):
-        self.data[:800000]
+        self.data.loc[:800000]
 
     def time_getitem_list_like(self, index, index_structure):
         self.data[[800000]]
diff --git a/doc/source/whatsnew/v0.13.0.rst b/doc/source/whatsnew/v0.13.0.rst
index a624e81d17db9..ceb16bc7a8d8d 100644
--- a/doc/source/whatsnew/v0.13.0.rst
+++ b/doc/source/whatsnew/v0.13.0.rst
@@ -342,12 +342,25 @@ Float64Index API change
 
   Slicing is ALWAYS on the values of the index, for ``[],ix,loc`` and ALWAYS positional with ``iloc``
 
-  .. ipython:: python
-     :okwarning:
+  .. code-block:: ipython
+
+     In [1]: s[2:4]
+     Out[23]:
+     2.0    1
+     3.0    2
+     dtype: int64
+
+     In [24]: s.loc[2:4]
+     Out[24]:
+     2.0    1
+     3.0    2
+     dtype: int64
 
-     s[2:4]
-     s.loc[2:4]
-     s.iloc[2:4]
+     In[25]: s.iloc[2:4]
+     Out[25]:
+     3.0    2
+     4.5    3
+     dtype: int64
 
   In float indexes, slicing using floats are allowed
 
diff --git a/doc/source/whatsnew/v3.0.0.rst b/doc/source/whatsnew/v3.0.0.rst
index c77348b365370..05d0e815f22f3 100644
--- a/doc/source/whatsnew/v3.0.0.rst
+++ b/doc/source/whatsnew/v3.0.0.rst
@@ -240,6 +240,7 @@ Removal of prior version deprecations/changes
 - Removed the "closed" and "unit" keywords in :meth:`TimedeltaIndex.__new__` (:issue:`52628`, :issue:`55499`)
 - All arguments in :meth:`Index.sort_values` are now keyword only (:issue:`56493`)
 - All arguments in :meth:`Series.to_dict` are now keyword only (:issue:`56493`)
+- Changed the behavior of :meth:`Series.__getitem__`, :meth:`Series.__setitem__`, :meth:`DataFrame.__getitem__`, :meth:`DataFrame.__setitem__` with an integer slice on objects with a floating-dtype index from label-based to a *positional* indexing (:issue:`58449`)
 - Changed the default value of ``observed`` in :meth:`DataFrame.groupby` and :meth:`Series.groupby` to ``True`` (:issue:`51811`)
 - Enforce deprecation in :func:`testing.assert_series_equal` and :func:`testing.assert_frame_equal` with object dtype and mismatched null-like values, which are now considered not-equal (:issue:`18463`)
 - Enforced deprecation ``all`` and ``any`` reductions with ``datetime64``, :class:`DatetimeTZDtype`, and :class:`PeriodDtype` dtypes (:issue:`58029`)
diff --git a/pandas/core/indexes/base.py b/pandas/core/indexes/base.py
index 9acab2642f6be..a9085424b0ced 100644
--- a/pandas/core/indexes/base.py
+++ b/pandas/core/indexes/base.py
@@ -3842,20 +3842,7 @@ def _convert_slice_indexer(self, key: slice, kind: Literal["loc", "getitem"]):
             # We always treat __getitem__ slicing as label-based
             # translate to locations
             if kind == "getitem" and is_index_slice and not start == stop and step != 0:
-                # exclude step=0 from the warning because it will raise anyway
-                # start/stop both None e.g. [:] or [::-1] won't change.
-                # exclude start==stop since it will be empty either way, or
-                # will be [:] or [::-1] which won't change
-                warnings.warn(
-                    # GH#49612
-                    "The behavior of obj[i:j] with a float-dtype index is "
-                    "deprecated. In a future version, this will be treated as "
-                    "positional instead of label-based. For label-based slicing, "
-                    "use obj.loc[i:j] instead",
-                    FutureWarning,
-                    stacklevel=find_stack_level(),
-                )
-            return self.slice_indexer(start, stop, step)
+                self.loc[start:stop]  # type: ignore[attr-defined]
 
         if kind == "getitem":
             # called from the getitem slicers, validate that we are in fact integers
diff --git a/pandas/tests/frame/indexing/test_indexing.py b/pandas/tests/frame/indexing/test_indexing.py
index 69e6228d6efde..3fe52129d1f70 100644
--- a/pandas/tests/frame/indexing/test_indexing.py
+++ b/pandas/tests/frame/indexing/test_indexing.py
@@ -748,10 +748,7 @@ def test_getitem_setitem_float_labels(self):
         expected = df.iloc[0:2]
         tm.assert_frame_equal(result, expected)
 
-        expected = df.iloc[0:2]
-        msg = r"The behavior of obj\[i:j\] with a float-dtype index"
-        with tm.assert_produces_warning(FutureWarning, match=msg):
-            result = df[1:2]
+        result = df.loc[1:2]
         tm.assert_frame_equal(result, expected)
 
         # #2727
diff --git a/pandas/tests/indexing/test_floats.py b/pandas/tests/indexing/test_floats.py
index 1fe431e12f2a1..4edb3fac6495b 100644
--- a/pandas/tests/indexing/test_floats.py
+++ b/pandas/tests/indexing/test_floats.py
@@ -491,11 +491,11 @@ def test_floating_misc(self, indexer_sl):
         for fancy_idx in [[5, 0], np.array([5, 0])]:
             tm.assert_series_equal(indexer_sl(s)[fancy_idx], expected)
 
-        warn = FutureWarning if indexer_sl is tm.setitem else None
-        msg = r"The behavior of obj\[i:j\] with a float-dtype index"
-
         # all should return the same as we are slicing 'the same'
-        with tm.assert_produces_warning(warn, match=msg):
+
+        if indexer_sl is tm.setitem:
+            result1 = indexer_sl(s).loc[2:5]
+        else:
             result1 = indexer_sl(s)[2:5]
         result2 = indexer_sl(s)[2.0:5.0]
         result3 = indexer_sl(s)[2.0:5]
@@ -505,7 +505,9 @@ def test_floating_misc(self, indexer_sl):
         tm.assert_series_equal(result1, result4)
 
         expected = Series([1, 2], index=[2.5, 5.0])
-        with tm.assert_produces_warning(warn, match=msg):
+        if indexer_sl is tm.setitem:
+            result = indexer_sl(s).loc[2:5]
+        else:
             result = indexer_sl(s)[2:5]
 
         tm.assert_series_equal(result, expected)