Tesco customers will be able to convert their Clubcard vouchers into Cineworld tokens usable at more than 60 sites excluding Dublin, Jersey, Haymarket and Shaftesbury Avenue.
Justin Skinner, head of marketing at Cineworld, said: "We are delighted to be partnering with Tesco to reward their 13m customers with great value entertainment at Cineworld.
"In these tough times everyone craves a bit of escapism, so to benefit from 'free' cinema tickets with your weekly shop is a real bonus."
Cineworld runs its own membership and loyalty scheme Unlimited.