For the generalized BBM-Burgers equation with two-side boundary effect, it is proved that the solution of the general initial-boundary value problem tends to the corresponding stationary wave solution for small perturbation by the similar method. 对于具有两条边界影响的广义BBM-Burgers方程,用类似的方法证明了在小扰动的情形下,一般初边值问题的解渐近收敛到相应的驻波解。