In this study a decentralised event‐based scheme is proposed to synchronise the spacecraft's attitudes during their convergence toward the desired attitude, in the presence of disturbance. To achieve this goal, decentralised integral‐based triggering mechanisms are introduced which not only reduce the data transmission among the spacecraft efficiently but also guarantee a minimum inter‐event time for each triggering module. Moreover, a design procedure is given to find the control gains and triggering conditions parameters properly. Finally, simulation results are provided to show the effectiveness of the system.