Under the deal, owners of Bravia IP-enabled televisions, connected Blu-ray players, home theatre devices and network media players will be able to access MUBI's service for a 30-day free trial.
The VOD company has a library of more than 4,500 features and short films, including works by acclaimed directors such as Federico Fellini, Akira Kurosawa, David Fincher and Stanley Kubrick.
MUBI will officially launch on Sony's devices in the UK on September 15, after the service became available on the firm's PlayStation 3 console last November.
In addition to watching films, subscribers can also get access to MUBI's online community of more than 2m registered users to discuss movies and find out about classics they may have missed.
Sony UK's proposition development manager Edd Uzzell said: "We're excited to be working with MUBI and to add their thousands of great titles to the breadth of content already available online through Sony products."
MUBI's Efe Cakarel added: "These are exciting times for MUBI. I want to watch every great film on my Sony Bravia instantly and we are about to start making this a reality."
In April, Sony made internet voice calls service Skype available on its Bravia TV sets, as part of a firmware update introducing a range of new services including Twitter and Facebook.