diff --git a/Doc/library/math.rst b/Doc/library/math.rst
index 186f99e9591546..199cce617ab1e2 100644
--- a/Doc/library/math.rst
+++ b/Doc/library/math.rst
@@ -848,7 +848,8 @@ Constants
 
    The :mod:`math` module consists mostly of thin wrappers around the platform C
    math library functions.  Behavior in exceptional cases follows Annex F of
-   the C99 standard where appropriate.  The current implementation will raise
+   the C99 standard, if :attr:`sys.float_info.iec_60559` is true.
+   The current implementation will raise
    :exc:`ValueError` for invalid operations like ``sqrt(-1.0)`` or ``log(0.0)``
    (where C99 Annex F recommends signaling invalid operation or divide-by-zero),
    and :exc:`OverflowError` for results that overflow (for example,
diff --git a/Doc/library/sys.rst b/Doc/library/sys.rst
index a0621d4b0dbd09..0e116e7edeec1f 100644
--- a/Doc/library/sys.rst
+++ b/Doc/library/sys.rst
@@ -694,15 +694,15 @@ always available. Unless explicitly noted otherwise, all variables are read-only
    A :term:`named tuple` holding information about the float type. It
    contains low level information about the precision and internal
    representation.  The values correspond to the various floating-point
-   constants defined in the standard header file :file:`float.h` for the 'C'
-   programming language; see section 5.2.4.2.2 of the 1999 ISO/IEC C standard
+   constants defined by C implementation and in the standard header file :file:`float.h` for the 'C'
+   programming language; see Annex F and section 5.2.4.2.2 of the 1999 ISO/IEC C standard
    [C99]_, 'Characteristics of floating types', for details.
 
    .. list-table:: Attributes of the :data:`!float_info` :term:`named tuple`
       :header-rows: 1
 
       * - attribute
-        - float.h macro
+        - C macro
         - explanation
 
       * - .. attribute:: float_info.epsilon
@@ -771,6 +771,12 @@ always available. Unless explicitly noted otherwise, all variables are read-only
           All other values for :c:macro:`!FLT_ROUNDS` characterize
           implementation-defined rounding behavior.
 
+      * - .. attribute:: float_info.iec_60559
+        - :c:macro:`!__STDC_IEC_559__`
+        - A boolean, indicating support the IEC 60559 floating-point standard.
+          If true, the :class:`float` type characteristics and behavior matches
+          the IEC 60559 double format.
+
    The attribute :attr:`sys.float_info.dig` needs further explanation.  If
    ``s`` is any string representing a decimal number with at most
    :attr:`!sys.float_info.dig` significant digits, then converting ``s`` to a
diff --git a/Lib/test/test_sys.py b/Lib/test/test_sys.py
index 2e87e38fe5dfdc..b33aa4572d5d12 100644
--- a/Lib/test/test_sys.py
+++ b/Lib/test/test_sys.py
@@ -642,7 +642,7 @@ def test_attributes(self):
         self.assertIsInstance(sys.exec_prefix, str)
         self.assertIsInstance(sys.base_exec_prefix, str)
         self.assertIsInstance(sys.executable, str)
-        self.assertEqual(len(sys.float_info), 11)
+        self.assertEqual(len(sys.float_info), 12)
         self.assertEqual(sys.float_info.radix, 2)
         self.assertEqual(len(sys.int_info), 4)
         self.assertTrue(sys.int_info.bits_per_digit % 5 == 0)
diff --git a/Misc/NEWS.d/next/Library/2025-09-12-07-30-13.gh-issue-138580.Qr_fSH.rst b/Misc/NEWS.d/next/Library/2025-09-12-07-30-13.gh-issue-138580.Qr_fSH.rst
new file mode 100644
index 00000000000000..91556e3c92988c
--- /dev/null
+++ b/Misc/NEWS.d/next/Library/2025-09-12-07-30-13.gh-issue-138580.Qr_fSH.rst
@@ -0,0 +1,2 @@
+Add a boolean flag, indicating support the IEC 60559 floating-point standard
+(as specified by the Annex F of C99).  Patch by Sergey B Kirpichev.
diff --git a/Objects/floatobject.c b/Objects/floatobject.c
index 78006783c6ec78..e9a856a4016b03 100644
--- a/Objects/floatobject.c
+++ b/Objects/floatobject.c
@@ -68,6 +68,8 @@ static PyStructSequence_Field floatinfo_fields[] = {
     {"radix",           "FLT_RADIX -- radix of exponent"},
     {"rounds",          "FLT_ROUNDS -- rounding mode used for arithmetic "
                     "operations"},
+    {"iec_60559",   "test if implementation supports the IEC 60559 "
+                    "floating-point standard"},
     {0}
 };
 
@@ -75,7 +77,7 @@ static PyStructSequence_Desc floatinfo_desc = {
     "sys.float_info",           /* name */
     floatinfo__doc__,           /* doc */
     floatinfo_fields,           /* fields */
-    11
+    12
 };
 
 PyObject *
@@ -113,6 +115,11 @@ PyFloat_GetInfo(void)
     SetDblFlag(DBL_EPSILON);
     SetIntFlag(FLT_RADIX);
     SetIntFlag(FLT_ROUNDS);
+#ifdef __STDC_IEC_559__
+    SetFlag(PyBool_FromLong(1));
+#else
+    SetFlag(PyBool_FromLong(0));
+#endif
 #undef SetIntFlag
 #undef SetDblFlag
 #undef SetFlag