"No need to thank me" or "No thanks necessary" are both common ways to say that someone does not need to thank you in Engpsh. For example:

Person 1: "Thanks for helping me with my project."
Person 2: "No need to thank me. It was my pleasure to help."

Person 1: "I really appreciate your help. Thank you."
Person 2: "No thanks necessary. I'm happy to be able to help."