The venue, which was run by by Shine Productions, has been based at Bank Square beside the Moviehouse cinema in the city centre since 2005.
But the firm said it was unable to reach agreement with the building's landlord about the venue's future.
It told customers on its Facebook page on Wednesday: "It is with heavy hearts that we have decided to close the doors of the Stiff Kitten for the last time today and move on."
It added: "The Stiff Kitten site has always been a problematic location to do business in, and this has only became more of a challenge in recent years with a general shift towards the Cathedral Quarter.
"This coupled with the many other projects our associated businesses have to focus on, has meant that we cannot give the Stiff Kitten the attention and considerable investment it requires to thrive again. It was very much a club of its time, and that time has now passed."
The bar hosted a string of successful bands and DJs from Mark Ronson and Calvin Harris to Two Door Cinema Club and Chase and Status.
In April it held the launch party for Belsonic 2014.
Shine Productions said it had some "exciting new projects in the pipeline" but thanked everyone who had worked and performed at the venue.
"We have so many happy memories associated with this place and the wonderful nights we've put on there over the last decade," it added.
"We hope these good times will live on in people's hearts but it is time for us to move on to other things."
COMMENT RULES: Comments that are judged to be defamatory, abusive or in bad taste are not acceptable and contributors who consistently fall below certain criteria will be permanently blacklisted. The moderator will not enter into debate with individual contributors and the moderator’s decision is final. It is Belfast Telegraph policy to close comments on court cases, tribunals and active legal investigations. We may also close comments on articles which are being targeted for abuse. Problems with commenting? email@example.com