Abstract: The consensus in the directed multi-agent networks with fixed topology and the H_∞ filter design for the networks are studied.To simplify the filter design,a kind of system transformation is first presented,and then the consensus H_∞ filter is constructed.The sufficient conditions can then be obtained for the multi-agent asymptotic consensus with H_∞ disturbance attenuation performance.The corresponding filter parameters can be obtained by solving a set of linear matrix inequalities(LMIs).A simulation example is presented to demonstrate the efficiency of the proposed method.