This article deals with the load frequency control problem of multiarea power systems subject to multiple intermittent denial-of-service (DoS) attacks that can interrupt the data transmission of each area independently. A decentralized event-triggering (ET) scheme under periodic sampling is proposed to reduce the transmission burden. Then, a decentralized ET-based controller is designed by tuning several parameters. Such control scheme can reduce the computational complexity while achieving privacy preserving. Moreover, sufficient conditions are derived for ensuring the input-to-state stability of multiarea power systems and an optimization solution method via particle swarm algorithm is provided. Finally, a three-area power system is employed to verify the effectiveness of the proposed scheme.