The invention discloses a reduction clutch for a washing machine and the washing machine. The reduction clutch comprises an input shaft, an input shaft sleeve, a brake wheel, a reducer, a dewatering shaft, an output shaft, a clutch device and a shell. The input shaft sleeve is installed on the input shaft in a sleeving mode, the dewatering shaft is installed on the output shaft in a sleeving mode, the reducer is installed on an inner cavity of the brake wheel, and the input shaft, the input shaft sleeve, the brake wheel and the output shaft are connected with the reducer respectively. The reducer is a double planetary gear train and comprises a first planetary gear train and a second planetary gear train, and the first planetary gear train and the second planetary gear train use a same planet carrier. The input shaft sleeve and the second planetary gear train are connected into one, the dewatering shaft and the brake wheel are connected into one, the output shaft is connected with input shaft in a transmission mode through the first planetary gear train, and the dewatering shaft is connected with the output shaft in a transmission mode through the brake wheel and the second planetary gear train. The conversion between the washing condition and the dewatering condition is controlled through the clutch device. The reduction clutch for the washing machine and the washing machine have the advantages that the structure is simple and compact, the manufacturing cost is low, the transmission is safe, reliable and efficient, the service life is long, and the noise is low.