Disclosed are a control method of a washing machine, and a washing machine. The washing machine includes a first drainage pump (5) arranged between a washing drum (1) and a filter membrane assembly (12). The first drainage pump (5) pumps water in the washing drum (1) into the filter membrane assembly (12) for filtration and ensures that a water level in a water inlet cavity of the filter membrane assembly (12) is not higher than a lower edge of a sewage outlet, so as to prevent reduce of the amount of washing water due to drainage of excessive washing water/rinsing water. Since the first drainage pump (5) is a low-lift water pump, water in the filter membrane assembly (12) moves continuously during filtration, so as to scour pollutants on a surface of a filter membrane/membrane filament, reduce an accumulation degree of the pollutants, effectively prevent blockage and achieve low noise. In addition, a water surface in the filter membrane assembly (12) continuously fluctuates so that sewage in the water inlet
