No you don't.
The law states that you need to be covered by a TV Licence if you watch or record television programmes, on any device, as they're being shown on TV. This includes TVs, computers, mobile phones, games consoles, digital boxes and Blu-ray/DVD/VHS recorders.
You don't need a licence if you don't use any of these devices to watch or record television programmes as they're being shown on TV - for example, if you use your TV only to watch DVDs or play video games, or you only watch ‘catch up’ services like BBC iPlayer or 4oD.
Source the goddamn tv licensing people.
http://www.tvlicensing.co.uk/check-if-you-need-one/topics/what-if-a-tv-licence-is-not-needed-top12/
