An efficient aeroelastic analysis which can consider both aerodynamic and structural nonlinearities is presented. The nalaysis is based on the computational fluid dynamics (CFD) ans computational structural dynamics (CSD) techniques in the time domain. Moving shock wave on the liftinf surface, which is the areodynamic nonlinearity in this study, is taken into account using the transonic small disturbance (TSD) equation. Freeplay which is local structural nonlinearity is considered using modal approach with fietilious mass method. The aeroelastic response results of s wing with freeplay are presented in the subsonic and transonic regions. The effents of the shock waves on the aeroelastic responses of the wing freeplay are investigated. The amplitude versus velocity at the subsonic region is compared with that at the transonic in detail.