The Shawshank Redemption is written by Stephen KingStephen King wrote The Green MileThe Green Mile is written by Frank Darabont. Frank Darabont directed The Mist
[Human]: I liked the Shawshank Redemption. Can you recommend a similar movie? [Assistant]: Do you like Shawshank Redemption because it is written by Stephen King? [Human]: I liked the actors in the movie. [Assistant]: If you liked the Shawshank Redemption, you might like the Green Mile. [Human]: Was that also written by Stephen king? 
Yes, Stephen King wrote The Green Smile just like he did for The Shawshank Redemption.