Event-triggered coordinated attitude control problem for chip satellite cluster was investigated in this paper. Considering the constraints of computation, measurement and communication on chip satellites, adaptive attitude tracking controller based on event-triggered strategy was proposed for chip satellite cluster with leader-follower architecture. Triggering function with state tracking error was designed to adjust update period of controller, event was triggered and controller was updated once triggering function value satisfied the condition, while controller in non-triggering time used state information of triggering time. As the state of cluster system gradually tended to be stable, triggering frequency was reduced, which effectively reduced update frequency of controller and reduced resource on board. Cluster system was proved to be globally asymptotical convergence by Lyapunov stability theory. Simulation results showed that the proposed event-triggered adaptive attitude tracking controller could reduce control execution frequency, meet the constraints of resource and ability of chip satellites, as well as ensure control performance of cluster system. The influence of control gain coefficients and triggering parameters on control performance of cluster system were further analyzed, and criterion for parameters design was provided.