Consensus problem is a hot area of multi-agent cooperative control, and has produced many research results.Design consensus algorithm is the focus of multi-agent problem research.However, for high precision situations, multi-agent cooperative control needs more effective consensus algorithm.Since most of the dynamic models in reality are second-order systems, this paper provides a consensus algorithm of second-order multi-agent system with integral, and compares it with the traditional consensus algorithms. The algorithm has higher response rate and consensus accuracy.In order to illustrate the effectiveness of the proposed algorithm, a set of simulation results is provided. © 2018 SPIE.