Both tablets launch in the UK with a one-month free subscription to the streaming service, which they can log in to using Amazon accounts.
"Every Kindle Fire HD and Kindle Fire in the UK comes with seamless integration of Lovefilm giving users access to thousands of movies and TV shows," said Lovefilm managing director Jim Buckle.
"This is a huge moment for Lovefilm and continues to expand our multi-platform offering - delivering the very best content onto the most popular devices, which can only be great news for film and TV fans."
Lovefilm for Kindle Fire is backed by a number of unique features, such as Whispersync support to keep track of the user's progress across multiple devices, and the IMDB-powered X-Ray For Movies supplementary service.
Amazon launched the Kindle Fire and the Kindle Fire HD in the UK today (October 25) alongside the Kindle Paperwhite e-reader.
A history of tablet computers in pictures: