This paper considers the consensus problem of nonlinear leader-following multi-agent system under quantized impulsive control.According to matrix theory,Lyapunov function and Lipshitz inequalities,some assumptions and sufficient conditions are given to make sure that the leader-following multi-agent system achieve fixed-time consensus.By constructing comparison system and using differential equations,the criteria for fixed-time consensus are set and the time interval to achieve consensus is calculated.Finally,the above theoretical analyses are verified by a simulation example.