In this paper,on the basis of Huybrechts’ strong-coupling polaron model,the Tokuda modified linear-combination operator method and the unitary transformation method are used to study the properties of the strong-coupling bound polaron considering the influence of Rashba effect,which is brought by the spin-orbit (SO) interaction,in the semiconductor triangular quantum well (TQW).Numerical calculation on the RbCl TQW,as the example,isperformed.The expressions for the effective mass of the polaron as a function of the vibration frequency,the velocity,the Coulomb bound potential and the electron areal density are derived.Numerical results show that the total effectivemass of the polaron is composed of three parts.The interactions between the orbit and the spin with different directionshave different effects on the effective mass of the bound polaron.