Moments after the new video was posted online, the mayor told reporters that he was "extremely, extremely inebriated" in it and "embarrassed" by it.
The context of the video is unknown, and it's unclear who the target of Ford's wrath is. The video appeared at length on the Toronto Star's website.
City councillors, meanwhile, moved ahead in efforts to force Ford out of office, although there is no clear legal path for doing so.
The controversy surrounding Ford escalated last week when police announced they had obtained a different, long-sought video that shows Ford smoking a crack pipe.
After months of evading the question, Ford admitted on Tuesday to smoking crack in a stunning confession to reporters. He also admitted to a drinking problem on his Sunday radio show.
Despite immense pressure, the mayor has refused to resign or take a leave of absence.
Disclaimer: This video contains some disturbing images and objectionable language