The problem was first noted back in September 2009, with some Time Capsules potentially shutting down after just 18 months.
"Some Time Capsules sold between approximately February 2008 and June 2008 may not power on or may shut down unexpectedly after starting up," Apple notes in an support document.
"If Apple or an Apple Authorized Service Provider confirms that your Time Capsule is affected, Apple will repair or replace it free of charge."
Time Capsules being recalled are those with serial numbers between XX807XXXXXX and XX814XXXXXX, sold between February and June 2008.
Those with potentially faulty Time Capsules can find out how to return them here.
This story, "Apple Recalls Faulty Time Capsules" was originally published by Macworld U.K..