This paper propose an asynchronous impulsive control scheme for consensus of second-order multi-agent systems. The proposed control scheme do not require time synchronization among agents. Each agents has its won clock to determine the impulsive instants. By using discretization approaches and the stochastic matrix theory, it is find that the stability of the proposed control scheme depends on the communication topology, the maximum impulsive interval and the control gains. Finally, a numerical example is provided based on a multi-agent systems with five agents.