diff --git a/doc/source/whatsnew/v3.0.0.rst b/doc/source/whatsnew/v3.0.0.rst
index 2b437734a451a..2d9355c319f16 100644
--- a/doc/source/whatsnew/v3.0.0.rst
+++ b/doc/source/whatsnew/v3.0.0.rst
@@ -825,6 +825,7 @@ Other
 - Bug in :class:`DataFrame` when passing a ``dict`` with a NA scalar and ``columns`` that would always return ``np.nan`` (:issue:`57205`)
 - Bug in :class:`Series` ignoring errors when trying to convert :class:`Series` input data to the given ``dtype`` (:issue:`60728`)
 - Bug in :func:`eval` on :class:`ExtensionArray` on including division ``/`` failed with a ``TypeError``. (:issue:`58748`)
+- Bug in :func:`eval` where method calls on binary operations like ``(x + y).dropna()`` would raise ``AttributeError: 'BinOp' object has no attribute 'value'`` (:issue:`61175`)
 - Bug in :func:`eval` where the names of the :class:`Series` were not preserved when using ``engine="numexpr"``. (:issue:`10239`)
 - Bug in :func:`eval` with ``engine="numexpr"`` returning unexpected result for float division. (:issue:`59736`)
 - Bug in :func:`to_numeric` raising ``TypeError`` when ``arg`` is a :class:`Timedelta` or :class:`Timestamp` scalar. (:issue:`59944`)
diff --git a/pandas/core/computation/expr.py b/pandas/core/computation/expr.py
index 14a393b02409c..b53596fe28e70 100644
--- a/pandas/core/computation/expr.py
+++ b/pandas/core/computation/expr.py
@@ -644,7 +644,11 @@ def visit_Attribute(self, node, **kwargs):
         ctx = node.ctx
         if isinstance(ctx, ast.Load):
             # resolve the value
-            resolved = self.visit(value).value
+            visited_value = self.visit(value)
+            if hasattr(visited_value, "value"):
+                resolved = visited_value.value
+            else:
+                resolved = visited_value(self.env)
             try:
                 v = getattr(resolved, attr)
                 name = self.env.add_tmp(v)
diff --git a/pandas/tests/computation/test_eval.py b/pandas/tests/computation/test_eval.py
index 3c0bf6c35866c..9fed65faee896 100644
--- a/pandas/tests/computation/test_eval.py
+++ b/pandas/tests/computation/test_eval.py
@@ -2006,3 +2006,24 @@ def test_eval_float_div_numexpr():
     result = pd.eval("1 / 2", engine="numexpr")
     expected = 0.5
     assert result == expected
+
+
+def test_method_calls_on_binop():
+    # GH 61175
+    x = Series([1, 2, 3, 5])
+    y = Series([2, 3, 4])
+
+    # Method call on binary operation result
+    result = pd.eval("(x + y).dropna()")
+    expected = (x + y).dropna()
+    tm.assert_series_equal(result, expected)
+
+    # Test with other binary operations
+    result = pd.eval("(x * y).dropna()")
+    expected = (x * y).dropna()
+    tm.assert_series_equal(result, expected)
+
+    # Test with method chaining
+    result = pd.eval("(x + y).dropna().reset_index(drop=True)")
+    expected = (x + y).dropna().reset_index(drop=True)
+    tm.assert_series_equal(result, expected)