An adaptive disturbance rejection control scheme is developed for solving the wind turbulence compensation problem. The turbulence wind studied in this paper is based on the mutual switch of several dominant wind directions. The linear models of aircraft under wind turbulence with different dominant directions are given. An adaptive controller is designed based on the model reference adaptive control when the aircraft encounters the wind turbulence in different dominant directions. Desired closed-loop system stabilization and output tracking have been proven. A simulation study on aircraft compensation has been presented to verify the effectiveness of our designed method.