In this paper，a mathematical model of integrated pest management with linear state feedback control is presented，and the global dynamic properties of the system are studied. Firstly，Poincaré map is defined on the phase set，and its geometric and analytical properties are discussed. Secondly，the sufficient and necessary conditions for the stability of the order periodic solution （the fixed point of Poincaré map）are given，and the existence and stability of the order periodic solution are analyzed and discussed. Finally，the correctness of the theoretical conclusion was verified by numerical simulation，and the effective strategy of integrated pest control is given.