diff --git a/ci/scripts/download_tz_database.sh b/ci/scripts/download_tz_database.sh
index c4095ef9c2d69..d00091da78fa8 100755
--- a/ci/scripts/download_tz_database.sh
+++ b/ci/scripts/download_tz_database.sh
@@ -20,11 +20,11 @@
 set -ex
 
 # Download database
-curl https://data.iana.org/time-zones/releases/tzdata2021e.tar.gz --output ~/Downloads/tzdata2021e.tar.gz
+curl https://data.iana.org/time-zones/releases/tzdata2024e.tar.gz --output ~/Downloads/tzdata2024b.tar.gz
 
 # Extract
 mkdir -p ~/Downloads/tzdata
-tar --extract --file ~/Downloads/tzdata2021e.tar.gz --directory ~/Downloads/tzdata
+tar --extract --file ~/Downloads/tzdata2024b.tar.gz --directory ~/Downloads/tzdata
 
 # Download Windows timezone mapping
 curl https://raw.githubusercontent.com/unicode-org/cldr/master/common/supplemental/windowsZones.xml --output ~/Downloads/tzdata/windowsZones.xml
diff --git a/dev/release/verify-release-candidate-wheels.bat b/dev/release/verify-release-candidate-wheels.bat
index afa4dbe80092c..cef3f00344f8d 100644
--- a/dev/release/verify-release-candidate-wheels.bat
+++ b/dev/release/verify-release-candidate-wheels.bat
@@ -56,7 +56,6 @@ call deactivate
 
 set ARROW_TEST_DATA=%cd%\arrow\testing\data
 set PARQUET_TEST_DATA=%cd%\arrow\cpp\submodules\parquet-testing\data
-set TZDIR=c:\msys64\usr\share\zoneinfo
 
 CALL :verify_wheel 3.9
 if errorlevel 1 GOTO error