The invention discloses an air pump assembly for a washing machine and the washing machine with the air pump assembly. The air pump assembly for the washing machine comprises an air pump shell and a driving assembly. A deformation membrane assembly is arranged on the air pump shell, a suction cavity with the variable volume is defined by the deformation membrane assembly and the air pump shell in a matched mode, a suction port and an air supply port communicated with the suction cavity are formed in the air pump shell, the suction port is connected with a one-way valve for allowing airflow to enter the suction cavity in one way, and the air supply port is provided with a one-way air outlet membrane. The driving assembly is connected with the the deformation membrane assembly to drive the deformation membrane assembly to deform to change the volume of the suction cavity. According to the air pump assembly for the washing machine, under the effect of the driving assembly, the deformation membrane assembly deforms to cause change of the volume of the suction cavity, and therefore air suction and exhaust are achieved. Compared with the prior art, the volume of the suction cavity is reduced, and the change of pressure intensity in the suction cavity in the air suction and exhaust processes is more obvious.