Since the establishment of the B-integral criterion, it has been a basic design criterion for the nonlinear effect control in large laser drivers. Through an overview of the experimental and simulation processes for establishing two B-integral criteria in the national ignition facility, we explain the principle and the creation conditions of the B-integral criteria, and point out the applicability and the existing problems of the B integral criteria. It is concluded that the two B-integral criteria are imperfect. In order to accurately determine the B-integral criteria applicable to the current large high power solid-state laser devices, the actual conditions of the current laser devices should be comprehensively considered and the corresponding experiments and simulations should be conducted.