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(School of Automation Science and Electrical Engineering, Beihang University, Beijing 100191, China)：The problem of the group consensus control for a class of hybrid heterogeneous multi-agent system is studied. Specifically, for hybrid heterogeneous systems consisting of first order agents and two order agents, the group consensus is researched in discrete case, and the linear control protocol is proposed based on two reasonable assumptions. The research uses algebraic graph theory, stability theory and matrix theory to analysis the system matrix and dynamic characteristics of the closed-loop system under the protocol, and obtains the sufficient condition to guarantee the class of hybrid heterogeneous multi-agent system to achieve the group consensus asymptotically. This conclusion applies not only to the topology, but also to non-directional topology only when the network topology meets the necessary conditions. Finally, the results are verified by simulation examples.