diff --git a/docs/requirements-doc.txt b/docs/requirements-doc.txt
index 695cf7812bb..60eb5fe301b 100644
--- a/docs/requirements-doc.txt
+++ b/docs/requirements-doc.txt
@@ -9,6 +9,9 @@ pyyaml
 recommonmark
 sphinx
 sphinx-click
+# Pin ray to < 1.13.0 to work around GH#4564
+# TODO(https://github.com/modin-project/modin/issues/4564): let ray go past 1.13.0.
+ray[default]>=1.4.0,<1.13.0
 git+https://github.com/modin-project/modin.git@master#egg=modin[all]
 sphinxcontrib_plantuml
 sphinx-issues
diff --git a/environment-dev.yml b/environment-dev.yml
index 6e1b904f029..a635b3f002a 100644
--- a/environment-dev.yml
+++ b/environment-dev.yml
@@ -41,7 +41,9 @@ dependencies:
       - modin-spreadsheet>=0.1.1
       - tqdm
       - git+https://github.com/airspeed-velocity/asv.git@ef016e233cb9a0b19d517135104f49e0a3c380e9
-      - ray[default]>=1.4.0
+      # Pin ray to < 1.13.0 to work around GH#4564
+      # TODO(https://github.com/modin-project/modin/issues/4564): let ray go past 1.13.0.      
+      - ray[default]>=1.4.0,<1.13.0
       - connectorx>=0.2.6a4
       # TODO: remove when resolving GH#4398
       - redis>=3.5.0,<4.0.0
diff --git a/modin/config/envvars.py b/modin/config/envvars.py
index c49770c5120..d475ae906de 100644
--- a/modin/config/envvars.py
+++ b/modin/config/envvars.py
@@ -81,7 +81,11 @@ def _get_default(cls):
         -------
         str
         """
-        from modin.utils import MIN_RAY_VERSION, MIN_DASK_VERSION
+        from modin.utils import (
+            MIN_RAY_VERSION,
+            MAX_RAY_VERSION_EXCLUSIVE,
+            MIN_DASK_VERSION,
+        )
 
         if IsDebug.get():
             return "Python"
@@ -91,9 +95,14 @@ def _get_default(cls):
         except ImportError:
             pass
         else:
-            if version.parse(ray.__version__) < MIN_RAY_VERSION:
+            if (
+                version.parse(ray.__version__) < MIN_RAY_VERSION
+                or version.parse(ray.__version__) >= MAX_RAY_VERSION_EXCLUSIVE
+            ):
                 raise ImportError(
-                    f"Please `pip install modin[ray]` to install compatible Ray version (>={MIN_RAY_VERSION})."
+                    "Please `pip install modin[ray]` to install compatible Ray "
+                    + "version "
+                    + f"(>={MIN_RAY_VERSION},<{MAX_RAY_VERSION_EXCLUSIVE})."
                 )
             return "Ray"
         try:
diff --git a/modin/utils.py b/modin/utils.py
index f2a7f9d61b3..865dd5a2500 100644
--- a/modin/utils.py
+++ b/modin/utils.py
@@ -36,6 +36,9 @@
 from modin._version import get_versions
 
 MIN_RAY_VERSION = version.parse("1.4.0")
+# TODO(https://github.com/modin-project/modin/issues/4564):
+# once ray can go past 1.13.0, remove this constant and stop checking it.
+MAX_RAY_VERSION_EXCLUSIVE = version.parse("1.13.0")
 MIN_DASK_VERSION = version.parse("2.22.0")
 
 PANDAS_API_URL_TEMPLATE = f"https://pandas.pydata.org/pandas-docs/version/{pandas.__version__}/reference/api/{{}}.html"
diff --git a/requirements-dev.txt b/requirements-dev.txt
index 7fddfeb34c5..2495e63a3e5 100644
--- a/requirements-dev.txt
+++ b/requirements-dev.txt
@@ -3,7 +3,9 @@ numpy>=1.18.5
 pyarrow>=4.0.1
 dask[complete]>=2.22.0,<2022.2.0
 distributed>=2.22.0,<2022.2.0
-ray[default]>=1.4.0
+# Pin ray to < 1.13.0 to work around GH#4564
+# TODO(https://github.com/modin-project/modin/issues/4564): let ray go past 1.13.0.
+ray[default]>=1.4.0,<1.13.0
 redis>=3.5.0,<4.0.0
 psutil==5.6.6
 fsspec
diff --git a/setup.py b/setup.py
index 444ee832667..6794164d375 100644
--- a/setup.py
+++ b/setup.py
@@ -6,7 +6,9 @@
 
 dask_deps = ["dask>=2.22.0,<2022.2.0", "distributed>=2.22.0,<2022.2.0"]
 # TODO: remove redis dependency when resolving GH#4398
-ray_deps = ["ray[default]>=1.4.0", "pyarrow>=4.0.1", "redis>=3.5.0,<4.0.0"]
+# Pin ray to < 1.13.0 to work around GH#4564
+# TODO(https://github.com/modin-project/modin/issues/4564): let ray go past 1.13.0.
+ray_deps = ["ray[default]>=1.4.0,<1.13.0", "pyarrow>=4.0.1", "redis>=3.5.0,<4.0.0"]
 remote_deps = ["rpyc==4.1.5", "cloudpickle", "boto3"]
 spreadsheet_deps = ["modin-spreadsheet>=0.1.0"]
 sql_deps = ["dfsql>=0.4.2", "pyparsing<=2.4.7"]