In this paper we consider the problem of stochastic H2/H∞ control for Poisson jump-diffusion system driven by Brownian motion and Poisson process. Firstly, a mean-field stochastic bounded real lemma(SBRL) is derived in this paper. Secondly, a sufficient condition for the solvability of Poisson jump-diffusion linear quadratic (LQ) optimal control of discrete-time mean-field type is presented. Thirdly, based on the results of SBRL and LQ control, the sufficient conditions for the existence of mean-field stochastic H2/H∞ control of Poisson jump-diffusion system are established by the solvability of the coupled matrix value equation. Finally, an example of recursive algorithm is presented to demonstrate the effectiveness of the proposed theory.