The partnership, which was created by Cocktail Marketing, includes 'Scarface', 'Layer Cake', 'Long Good Friday' and 'Godfather' parts one two and three.
The promotion offers readers a free DVD if they sign up for a Lovefilm subscription.
Monkey Magazine is promoting the offer with audio-visual content from the free DVDs and a full-page double spread in the magazine.
Paul Greenwood, partnership marketing manager at Cocktail Marketing, said: "Partnership marketing is a highly cost effective way to drive online rentals while raising awareness of the Lovefilm brand to a key target audience and Monkey is the perfect environment to target potential customers."
Rich Keen, marketing manager at Monkey said: "This promotion provides our readers with the opportunity to sample a quality service whilst also reaping the benefit of claiming a desirable free gift -- all through their favourite magazine"