The invention discloses a delivery pump and a washing machine. The delivery pump comprises a pump body, an impeller and a driving part. The pump body is provided with a pump cavity, a water inlet, a water outlet and a circulation water gap, wherein the water inlet, the water outlet and the circulation water gap both communicate with the pump cavity. The impeller is located in the pump cavity. Thedriving part can drive the impeller to rotate forwardly and reversely. When the impeller rotates forwardly, the water inlet, the pump cavity and the circulation water gap are sequentially connected. When the impeller rotates reversely, the water inlet, the pump cavity and the water outlet are sequentially connected. According to the delivery pump disclosed by the invention, drainage of the washingmachine and delivery of circulation water can be achieved through the matching of the impeller and the pump cavity as well as the forward and reverse rotation of the impeller; and due to the fact that only one driving part is required in the delivery pump, cost is effectively reduced compared with the mode that two motors are needed for driving in the prior art. Meanwhile, the size of the whole delivery pump is reduced, so that transportation is facilitated and space occupancy is reduced. The number of positions needing to be sealed is also reduced, the probability of water leakage is loweredand the assembly of the washing machine is correspondingly simplified.