LTL and CTL regard protocols as close subsequent system to research,so it can’t describe the relation between protocols and outer environment effectively. A new ATL analysis method based on game logic was inducted,and it can model and analyze Multi-electronic commerce protocol. Then the new method was used to analysis Multi non-denying protocol put forward by Markowitch and Kremer,and the result indicates that this protocol can not satisfy fairness,finally the improved method was put forward.