In order to improve the accuracy of consensus filters, in this paper, we propose a second-order consensus filtering algorithm based on the pseudo two-hop distributed consensus algorithm, we analyze the performance of the second-order consensus filtering algorithm, and prove that the second-order consensus filtering algorithm is convergent. We analyze the filtering accuracy of the second-order consensus filtering algorithm, and make a comparison for filtering accuracy between the first-order consensus filtering algorithm and the second-order consensus filtering algorithm, simultaneously, simulation is proposed, the results show the second-order consensus filtering algorithm is convergent, and the filtering accuracy is higher than that of the first-order consensus algorithm.