diff --git a/.github/workflows/test.yml b/.github/workflows/test.yml
index 4c74c1c6..22f314a5 100644
--- a/.github/workflows/test.yml
+++ b/.github/workflows/test.yml
@@ -35,7 +35,7 @@ jobs:
         if [[ "${{ github.event_name }}" == "schedule" || "${{ github.head_ref }}" =~ ^release_ ]]; then \
           echo "matrix={ \
             \"os\": [ \"ubuntu-latest\", \"macos-latest\", \"windows-latest\" ], \
-            \"python-version\": [ \"3.8\", \"3.9\", \"3.10\", \"3.11\", \"3.12\" ], \
+            \"python-version\": [ \"3.8\", \"3.9\", \"3.10\", \"3.11\", \"3.12\", \"3.13.0-rc.1\" ], \
             \"package_level\": [ \"minimum\", \"latest\" ] \
           }" >> $GITHUB_OUTPUT; \
         else \
@@ -49,6 +49,16 @@ jobs:
                 \"python-version\": \"3.8\", \
                 \"package_level\": \"latest\" \
               }, \
+              { \
+                \"os\": \"ubuntu-latest\", \
+                \"python-version\": \"3.13.0-rc.1\", \
+                \"package_level\": \"minimum\" \
+              }, \
+              { \
+                \"os\": \"ubuntu-latest\", \
+                \"python-version\": \"3.13.0-rc.1\", \
+                \"package_level\": \"latest\" \
+              }, \
               { \
                 \"os\": \"macos-latest\", \
                 \"python-version\": \"3.8\", \
@@ -74,6 +84,16 @@ jobs:
                 \"python-version\": \"3.12\", \
                 \"package_level\": \"latest\" \
               }, \
+              { \
+                \"os\": \"macos-latest\", \
+                \"python-version\": \"3.13.0-rc.1\", \
+                \"package_level\": \"minimum\" \
+              }, \
+              { \
+                \"os\": \"macos-latest\", \
+                \"python-version\": \"3.13.0-rc.1\", \
+                \"package_level\": \"latest\" \
+              }, \
               { \
                 \"os\": \"windows-latest\", \
                 \"python-version\": \"3.8\", \
@@ -88,6 +108,16 @@ jobs:
                 \"os\": \"windows-latest\", \
                 \"python-version\": \"3.12\", \
                 \"package_level\": \"latest\" \
+              }, \
+              { \
+                \"os\": \"windows-latest\", \
+                \"python-version\": \"3.13.0-rc.1\", \
+                \"package_level\": \"minimum\" \
+              }, \
+              { \
+                \"os\": \"windows-latest\", \
+                \"python-version\": \"3.13.0-rc.1\", \
+                \"package_level\": \"latest\" \
               } \
             ] \
           }" >> $GITHUB_OUTPUT; \
diff --git a/base-requirements.txt b/base-requirements.txt
index 124794cd..4ae4dcd6 100644
--- a/base-requirements.txt
+++ b/base-requirements.txt
@@ -8,4 +8,4 @@
 pip>=23.3
 setuptools>=70.0.0
 setuptools-scm[toml]>=8.1.0
-wheel>=0.38.1
+wheel>=0.41.3
diff --git a/changes/612.feature.rst b/changes/612.feature.rst
new file mode 100644
index 00000000..7ef96724
--- /dev/null
+++ b/changes/612.feature.rst
@@ -0,0 +1 @@
+Added support for and tests on Python 3.13.0-rc.1.
diff --git a/changes/612.fix.rst b/changes/612.fix.rst
new file mode 100644
index 00000000..bc3cbe1a
--- /dev/null
+++ b/changes/612.fix.rst
@@ -0,0 +1,2 @@
+Increased minimum versions of PyYAML to 6.0.2 and pyrsistent to 0.20.0 to fix
+install errors with Python 3.13 on Windows.
diff --git a/dev-requirements.txt b/dev-requirements.txt
index 6510ef51..a20bca70 100644
--- a/dev-requirements.txt
+++ b/dev-requirements.txt
@@ -80,13 +80,13 @@ sphinxcontrib-serializinghtml>=1.1.5; python_version == '3.8'
 sphinxcontrib-serializinghtml>=1.1.9; python_version >= '3.9'
 sphinxcontrib-websupport>=1.2.4
 autodocsumm>=0.2.12
-Babel>=2.9.1
+Babel>=2.11.0
 
 # PyLint (no imports, invoked via pylint script)
 pylint>=3.0.1
 astroid>=3.0.1
 lazy-object-proxy>=1.4.3
-wrapt>=1.14
+wrapt>=1.15
 # platformdirs is also used by tox
 platformdirs>=4.1.0
 # isort 4.3.8 fixes an issue with py310 and works on py310 (Note that isort 5.10.0 has official support for py310)
diff --git a/minimum-constraints-develop.txt b/minimum-constraints-develop.txt
index 543f995d..6fd82af9 100644
--- a/minimum-constraints-develop.txt
+++ b/minimum-constraints-develop.txt
@@ -69,13 +69,13 @@ sphinxcontrib-serializinghtml==1.1.5; python_version == '3.8'
 sphinxcontrib-serializinghtml==1.1.9; python_version >= '3.9'
 sphinxcontrib-websupport==1.2.4
 autodocsumm==0.2.12
-Babel==2.9.1
+Babel==2.11.0
 
 # PyLint (no imports, invoked via pylint script):
 pylint==3.0.1
 astroid==3.0.1
 lazy-object-proxy==1.4.3
-wrapt==1.14
+wrapt==1.15
 platformdirs==4.1.0
 isort==4.3.8
 tomlkit==0.10.1
diff --git a/minimum-constraints-install.txt b/minimum-constraints-install.txt
index 8c38056e..66766522 100644
--- a/minimum-constraints-install.txt
+++ b/minimum-constraints-install.txt
@@ -7,7 +7,7 @@ pip==23.3
 setuptools==70.0.0
 # Note on not specifying 'setuptools-scm[toml]': Extras cannot be in constraints files
 setuptools-scm==8.1.0
-wheel==0.38.1
+wheel==0.41.3
 
 
 # Direct dependencies for install (must be consistent with requirements.txt)
@@ -28,7 +28,7 @@ click-option-group==0.5.6
 prompt-toolkit==3.0.13
 
 # PyYAML is pulled in by zhmccli, zhmcclient, yamlloader
-PyYAML==5.3.1
+PyYAML==6.0.2
 
 jsonschema==3.1.0
 yamlloader==0.5.5
@@ -39,7 +39,7 @@ urllib3==1.26.19
 
 # Indirect dependencies for install that are needed for some reason (must be consistent with requirements.txt)
 
-pyrsistent==0.15.1
+pyrsistent==0.20.0
 
 
 # All other indirect dependencies for install that are not in requirements.txt
diff --git a/pyproject.toml b/pyproject.toml
index bbcdf8af..d859348e 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -60,6 +60,7 @@ classifiers = [
     "Programming Language :: Python :: 3.10",
     "Programming Language :: Python :: 3.11",
     "Programming Language :: Python :: 3.12",
+    "Programming Language :: Python :: 3.13",
 ]
 requires-python = ">=3.8"
 dynamic = ["version", "dependencies", "optional-dependencies"]
diff --git a/requirements.txt b/requirements.txt
index d71dece1..7e3891a4 100644
--- a/requirements.txt
+++ b/requirements.txt
@@ -26,14 +26,12 @@ click-option-group>=0.5.6
 
 prompt-toolkit>=3.0.13
 
-# PyYAML 5.3.x has wheel archives for Python 2.7, 3.5 - 3.9
-# PyYAML 5.4.x has wheel archives for Python 2.7, 3.6 - 3.9
-# PyYAML 6.0.0 has wheel archives for Python 3.6 - 3.11
-# PyYAML 6.0.1 has wheel archives for Python 3.6 - 3.12
+# PyYAML is pulled in by zhmccli, zhmcclient, yamlloader
+# PyYAML 6.0 has wheel archives for Python 3.6 - 3.11
 # PyYAML versions without wheel archives fail install since Cython 3 was
 #   released, see https://github.com/yaml/pyyaml/issues/724.
-PyYAML>=5.3.1,!=5.4.0,!=5.4.1; python_version <= '3.11'
-PyYAML>=5.3.1,!=5.4.0,!=5.4.1,!=6.0.0; python_version >= '3.12'
+# PyYAML 6.0.2 provides wheel archives for Python 3.13 on Windows
+PyYAML>=6.0.2
 
 jsonschema>=3.1.0
 yamlloader>=0.5.5
@@ -44,4 +42,5 @@ urllib3>=1.26.19
 # Indirect dependencies for install that are needed for some reason (must be consistent with minimum-constraints-install.txt)
 
 # pyrsistent is used by jsonschema 3.x (no longer by jsonschema 4.x)
-pyrsistent>=0.15.1
+# pyrsistent 0.20.0 has official support for Python 3.12
+pyrsistent>=0.20.0
diff --git a/tox.ini b/tox.ini
index 0bf27249..3cbfaf5b 100644
--- a/tox.ini
+++ b/tox.ini
@@ -14,6 +14,7 @@ envlist =
     py310
     py311
     py312
+    py313
     win64_py38_32
     win64_py38_64
     win64_py39_32
@@ -24,6 +25,8 @@ envlist =
     win64_py311_64
     win64_py312_32
     win64_py312_64
+    win64_py313_32
+    win64_py313_64
 
 skip_missing_interpreters = true
 
@@ -82,6 +85,10 @@ basepython = python3.11
 platform = linux2|darwin
 basepython = python3.12
 
+[testenv:py313]
+platform = linux2|darwin
+basepython = python3.13
+
 # Note: The basepython file paths for the win64* tox environments may need to
 #       be customized.
 
@@ -144,3 +151,15 @@ platform = win32
 basepython = python
 setenv =
     PATH = C:\Python312-x64;{env:PATH}
+
+[testenv:win64_py313_32]
+platform = win32
+basepython = python
+setenv =
+    PATH = C:\Python313;{env:PATH}
+
+[testenv:win64_py313_64]
+platform = win32
+basepython = python
+setenv =
+    PATH = C:\Python313-x64;{env:PATH}