Android Studio: Re-download dependencies and sync project
It basically means that the gradle zip file in the cache folder is corrupted, if you don't want to change the version like the up-voted
answer then you must delete the folder for your gradle version you're using for this project from the below path.
Then just retry the sync and android studio
will download it again
C:\Users\ [user here] \.gradle\wrapper\dists
ex: if you're using 3.3 for this project you'd be deleting the folder
C:\Users\[user here]\.gradle\wrapper\dists\gradle-3.3-all
While importing a libGDX project I got the same message from Android Studio 2.2.
Went to File->Project Structure then selected Project and set
Gradle version
and
Android Plugin Version
to values identical to another project I had recently created with Android Studio 2.2 and updated SDK. Could then sync gradle. Did Build->Build Clean with no issues. Then did Run->Clean and Rerun and project ran fine.
Hope this helps.