London had the highest number of monochrome licences, at 2,715, followed by Birmingham and Manchester, it said.
The number of licences issued each year has dwindled from 212,000 in 2000. A total of 13,202 monochrome licences were in force at the start of 2013.
A black-and-white TV licence costs £49 a year, a colour licence costs £145.50.
TV Licensing spokesman Stephen Farmer said: "It's remarkable that with the digital switchover complete, 41% of UK households owning HDTVs and Britons leading the world in accessing TV content over the internet, more than 13,000 households still watch their favourite programmes on a black-and-white telly.""