In the high-power laser system for inertial confinement fusion, wavefront control is one of the key technologies for the laser system to ensure it operates safely and reaches the beam quality criteria. In this article, the development of the wavefront control technology from its first being putting forward for the ICF laser system to its application in the latest ICF laser system in China was introduced. During the development of the ICF facilities, the wavefront control methods are varying to satisfy the varied demands promoted by these facilities. Based on different facilities, the methods and the application results are illustrated, including the climbing wavefront method for far-field spot optimization, the full-facility wavefront control method based on the data fusion acquired from two wavefront sensors, and the full-system wavefront control method with bi-deformed mirrors in the rotation chamber laser structure.