The composite fringe projection techniques have been widely studied and applied in many fields because multiple fringe patterns can be extracted from single color image. Crosstalk between color channels exists in projecting and imaging systems in order to cover all the range of spectrum. Therefore, the obtained fringe patterns are deformed and the measurement accuracy of three-dimensional (3D) shape data is affected. The compensation method of crosstalk between color channels in color composite fringe projection 3D measuring profilometry is reviewed. The crosstalk between color channels is analyzed with respect to the camera and projector in color fringe projection system. The corresponding crosstalk elimination methods are classified and summarized. The effects of these elimination methods are also compared. The reviewed methods have important application value in choosing the appropriate crosstalk elimination methods and improving the accuracy of color composite fringe pattern projection profilometry.