Abstract: To maximize network utility and minimize quality of service requirements and the utility fairness of Femtocell users in a two-tier Femtocell network with imperfect channel state information, we propose a robust power control scheme based on bargaining game. Considering the minimum quality of service requirements of Femtocell users in ensuring the normal transmission of the Macrocell users, we transform the Femtocell network power control problem into a bargaining game power control problem. To guarantee the fairness of Femtocell users, we propose a Kalai-Smorodinsky (K-S) bargaining game solution. We prove the existence and uniqueness of the K-S bargaining game solution and propose a distributed power control scheme based on the bi-section search algorithm. Simulation results show that the proposed algorithm not only has better convergence performance, but also effectively guarantees the fairness among users.