diff --git a/pyomo/common/enums.py b/pyomo/common/enums.py
index 0c90d358d65..1d31900baf5 100644
--- a/pyomo/common/enums.py
+++ b/pyomo/common/enums.py
@@ -24,6 +24,7 @@
 .. autosummary::
 
    ObjectiveSense
+   SolverAPIVersion
 
 """
 
@@ -213,5 +214,22 @@ def __str__(self):
         return self.name
 
 
+class SolverAPIVersion(NamedIntEnum):
+    """
+    Enum identifying Pyomo solver API version
+
+    The numeric values are intentionally a bit odd because APPSI came
+    between the official V1 and V2. We still want it to be chronologically
+    in order without sacrificing the human-logic of v1 vs. v2.
+    """
+
+    #: Original Coopr/Pyomo solver interface
+    V1 = 10
+    #: Automatic Persistent Pyomo Solver Interface (experimental)
+    APPSI = 15
+    #: Redesigned solver interface (circa 2024)
+    V2 = 20
+
+
 minimize = ObjectiveSense.minimize
 maximize = ObjectiveSense.maximize
diff --git a/pyomo/common/tests/test_enums.py b/pyomo/common/tests/test_enums.py
index b5264a50825..844e7539685 100644
--- a/pyomo/common/tests/test_enums.py
+++ b/pyomo/common/tests/test_enums.py
@@ -13,7 +13,7 @@
 
 import pyomo.common.unittest as unittest
 
-from pyomo.common.enums import ExtendedEnumType, ObjectiveSense
+from pyomo.common.enums import ExtendedEnumType, ObjectiveSense, SolverAPIVersion
 
 
 class ProblemSense(enum.IntEnum, metaclass=ExtendedEnumType):
@@ -95,3 +95,25 @@ def test_call(self):
     def test_str(self):
         self.assertEqual(str(ObjectiveSense.minimize), 'minimize')
         self.assertEqual(str(ObjectiveSense.maximize), 'maximize')
+
+
+class TestSolverAPIVersion(unittest.TestCase):
+    def test_members(self):
+        self.assertEqual(
+            list(SolverAPIVersion),
+            [SolverAPIVersion.V1, SolverAPIVersion.APPSI, SolverAPIVersion.V2],
+        )
+
+    def test_call(self):
+        self.assertIs(SolverAPIVersion(10), SolverAPIVersion.V1)
+        self.assertIs(SolverAPIVersion(15), SolverAPIVersion.APPSI)
+        self.assertIs(SolverAPIVersion(20), SolverAPIVersion.V2)
+
+        self.assertIs(SolverAPIVersion('V1'), SolverAPIVersion.V1)
+        self.assertIs(SolverAPIVersion('APPSI'), SolverAPIVersion.APPSI)
+        self.assertIs(SolverAPIVersion('V2'), SolverAPIVersion.V2)
+
+        with self.assertRaisesRegex(
+            ValueError, "'foo' is not a valid SolverAPIVersion"
+        ):
+            SolverAPIVersion('foo')
diff --git a/pyomo/contrib/appsi/base.py b/pyomo/contrib/appsi/base.py
index 0f7cfda4437..9d11297c60b 100644
--- a/pyomo/contrib/appsi/base.py
+++ b/pyomo/contrib/appsi/base.py
@@ -28,7 +28,7 @@
 
 from pyomo.common.config import ConfigDict, ConfigValue, NonNegativeFloat
 from pyomo.common.errors import ApplicationError
-from pyomo.common.enums import IntEnum
+from pyomo.common.enums import IntEnum, SolverAPIVersion
 from pyomo.common.factory import Factory
 from pyomo.common.timing import HierarchicalTimer
 from pyomo.core.base.constraint import ConstraintData, Constraint
@@ -635,6 +635,18 @@ def __str__(self):
             # preserve the previous behavior
             return self.name
 
+    @classmethod
+    def api_version(self):
+        """
+        Return the public API supported by this interface.
+
+        Returns
+        -------
+        ~pyomo.common.enums.SolverAPIVersion
+            A solver API enum object
+        """
+        return SolverAPIVersion.APPSI
+
     @abc.abstractmethod
     def solve(self, model: BlockData, timer: HierarchicalTimer = None) -> Results:
         """
diff --git a/pyomo/contrib/solver/common/base.py b/pyomo/contrib/solver/common/base.py
index 280b80629a3..90915b534f8 100644
--- a/pyomo/contrib/solver/common/base.py
+++ b/pyomo/contrib/solver/common/base.py
@@ -18,7 +18,7 @@
 from pyomo.core.base.block import BlockData
 from pyomo.core.base.objective import Objective, ObjectiveData
 from pyomo.common.config import ConfigValue
-from pyomo.common.enums import IntEnum
+from pyomo.common.enums import IntEnum, SolverAPIVersion
 from pyomo.common.errors import ApplicationError
 from pyomo.common.deprecation import deprecation_warning
 from pyomo.common.modeling import NOTSET
@@ -105,6 +105,18 @@ def __enter__(self):
     def __exit__(self, exc_type, exc_value, exc_traceback):
         """Exit statement - enables `with` statements."""
 
+    @classmethod
+    def api_version(self):
+        """
+        Return the public API supported by this interface.
+
+        Returns
+        -------
+        ~pyomo.common.enums.SolverAPIVersion
+            A solver API enum object
+        """
+        return SolverAPIVersion.V2
+
     def solve(self, model: BlockData, **kwargs) -> Results:
         """Solve a Pyomo model.
 
diff --git a/pyomo/contrib/solver/tests/solvers/test_ipopt.py b/pyomo/contrib/solver/tests/solvers/test_ipopt.py
index d788b66982a..c79c70ec1ca 100644
--- a/pyomo/contrib/solver/tests/solvers/test_ipopt.py
+++ b/pyomo/contrib/solver/tests/solvers/test_ipopt.py
@@ -102,6 +102,7 @@ def test_class_member_list(self):
         expected_list = [
             'CONFIG',
             'config',
+            'api_version',
             'available',
             'has_linear_solver',
             'is_persistent',
diff --git a/pyomo/contrib/solver/tests/unit/test_base.py b/pyomo/contrib/solver/tests/unit/test_base.py
index a93ac645f0f..ae7c1a0598d 100644
--- a/pyomo/contrib/solver/tests/unit/test_base.py
+++ b/pyomo/contrib/solver/tests/unit/test_base.py
@@ -13,6 +13,7 @@
 
 from pyomo.common import unittest
 from pyomo.common.config import ConfigDict
+from pyomo.common.enums import SolverAPIVersion
 from pyomo.contrib.solver.common import base
 
 
@@ -22,7 +23,14 @@ class _LegacyWrappedSolverBase(base.LegacySolverWrapper, base.SolverBase):
 
 class TestSolverBase(unittest.TestCase):
     def test_class_method_list(self):
-        expected_list = ['CONFIG', 'available', 'is_persistent', 'solve', 'version']
+        expected_list = [
+            'CONFIG',
+            'api_version',
+            'available',
+            'is_persistent',
+            'solve',
+            'version',
+        ]
         method_list = [
             method for method in dir(base.SolverBase) if method.startswith('_') is False
         ]
@@ -32,6 +40,7 @@ def test_init(self):
         instance = base.SolverBase()
         self.assertFalse(instance.is_persistent())
         self.assertEqual(instance.name, 'solverbase')
+        self.assertEqual(instance.api_version().name, 'V2')
         self.assertEqual(instance.CONFIG, instance.config)
         with self.assertRaises(NotImplementedError):
             self.assertEqual(instance.version(), None)
@@ -67,6 +76,7 @@ def test_class_method_list(self):
             'add_constraints',
             'add_parameters',
             'add_variables',
+            'api_version',
             'available',
             'is_persistent',
             'remove_block',
@@ -90,6 +100,7 @@ def test_class_method_list(self):
     def test_init(self):
         instance = base.PersistentSolverBase()
         self.assertTrue(instance.is_persistent())
+        self.assertEqual(instance.api_version(), SolverAPIVersion.V2)
         with self.assertRaises(NotImplementedError):
             self.assertEqual(instance.set_instance(None), None)
         with self.assertRaises(NotImplementedError):
diff --git a/pyomo/opt/base/solvers.py b/pyomo/opt/base/solvers.py
index 767f62d07c2..4aeee0c1987 100644
--- a/pyomo/opt/base/solvers.py
+++ b/pyomo/opt/base/solvers.py
@@ -16,6 +16,7 @@
 import shlex
 
 from pyomo.common import Factory
+from pyomo.common.enums import SolverAPIVersion
 from pyomo.common.errors import ApplicationError
 from pyomo.common.collections import Bunch
 
@@ -80,6 +81,18 @@ def __enter__(self):
     def __exit__(self, t, v, traceback):
         pass
 
+    @classmethod
+    def api_version(self):
+        """
+        Return the public API supported by this interface.
+
+        Returns
+        -------
+        ~pyomo.common.enums.SolverAPIVersion
+            A solver API enum object
+        """
+        return SolverAPIVersion.V1
+
     def available(self, exception_flag=True):
         """Determine if this optimizer is available."""
         if exception_flag:
@@ -249,6 +262,18 @@ def __enter__(self):
     def __exit__(self, t, v, traceback):
         pass
 
+    @classmethod
+    def api_version(self):
+        """
+        Return the public API supported by this interface.
+
+        Returns
+        -------
+        ~pyomo.common.enums.SolverAPIVersion
+            A solver API enum object
+        """
+        return SolverAPIVersion.V1
+
     #
     # Adding to help track down invalid code after making
     # the following attributes private