Based on the four-component coupled nonlinear Schrdinger equation with variable gain coefficient,the two-soliton solutions with three bright soliton components and one dark soliton component are obtained via the Hirota bilinear method.Simultaneously,the asymptotic limit and transmitting characteristics of the two-soliton solutions are discussed in detail.The results show that the elastic collision,inelastic collision and bound state transmission of the two-soliton solutions can be obtained by selecting the parameters reasonably.