In this paper, firstly we defined a new operator function class in Hilbert Space for Hermite-Hadamard type inequalities via Godunova-Levin functions, i.e., we introduce  class. Secondly, we established some new theorems for them. Finally, we obtained The Hermite-Hadamard type inequalities for the product two operators Godunova-Levin functions in Hilbert Space.