diff --git a/ci/deps/actions-37-db.yaml b/ci/deps/actions-37-db.yaml
index a9e4113bf9d18..cfdcf266236e6 100644
--- a/ci/deps/actions-37-db.yaml
+++ b/ci/deps/actions-37-db.yaml
@@ -15,7 +15,7 @@ dependencies:
   - beautifulsoup4
   - botocore>=1.11
   - dask
-  - fastparquet>=0.4.0
+  - fastparquet>=0.4.0, < 0.7.0
   - fsspec>=0.7.4, <2021.6.0
   - gcsfs>=0.6.0
   - geopandas
diff --git a/ci/deps/azure-windows-38.yaml b/ci/deps/azure-windows-38.yaml
index 70aa46e8a5851..902daf102ccda 100644
--- a/ci/deps/azure-windows-38.yaml
+++ b/ci/deps/azure-windows-38.yaml
@@ -15,7 +15,7 @@ dependencies:
   # pandas dependencies
   - blosc
   - bottleneck
-  - fastparquet>=0.4.0
+  - fastparquet>=0.4.0, <0.7.0
   - flask
   - fsspec>=0.8.0, <2021.6.0
   - matplotlib=3.1.3
diff --git a/environment.yml b/environment.yml
index 2c06c321fdbc4..500b8148a94d8 100644
--- a/environment.yml
+++ b/environment.yml
@@ -99,7 +99,7 @@ dependencies:
   - xlwt
   - odfpy
 
-  - fastparquet>=0.3.2  # pandas.read_parquet, DataFrame.to_parquet
+  - fastparquet>=0.3.2, <0.7.0  # pandas.read_parquet, DataFrame.to_parquet
   - pyarrow>=0.17.0  # pandas.read_parquet, DataFrame.to_parquet, pandas.read_feather, DataFrame.to_feather
   - python-snappy  # required by pyarrow
 
diff --git a/requirements-dev.txt b/requirements-dev.txt
index a0d4c8e02acf6..712c9a4b89273 100644
--- a/requirements-dev.txt
+++ b/requirements-dev.txt
@@ -64,7 +64,7 @@ xlrd
 xlsxwriter
 xlwt
 odfpy
-fastparquet>=0.3.2
+fastparquet>=0.3.2, <0.7.0
 pyarrow>=0.17.0
 python-snappy
 pyqt5>=5.9.2