We present a possible way to control matter-wave solitons, which is through the collision between solitons and accelerating atomic mirror. The acceleration of mirror has a nontrivial effect on the dynamical characters of reflected solitons. In the one-dimensional Bose-Einstein condensates (BECs), when the acceleration of mirror has the identical direction with initial soliton’s velocity, the soliton will diffuse after collision; in the contrary case, the soliton will shrink and then diffuse. We quantitatively explain the above dynamical phenomena by analyzing the atoms’ movement in soliton, and demonstrate that the way can make the similar effect with the phase imprinting technology. Moreover, considering the dipolar effect between atoms, this way can be used for the generation and control of breathing solitons.the generation and control of breathing solitons.