The invention provides a double-effect and triple-effect first-type absorption heat pump with a heat return end and a heat supply end, which belongs to the technical field of absorption heat pumps. A second absorber is sequentially communicated with a second solution pump, a third solution heat exchanger, a first absorber, a first solution pump, a second solution heat exchanger, a first solution heat exchanger and a first generator, the first generator is further sequentially communicated with the first solution heat exchanger, a second generator, the second solution heat exchanger, a third generator, the third solution heat exchanger and a second absorber, the first generator is provided with a steam channel used for communicating with the second generator and the third generator, the second generator is communicated with a condenser via a first throttling valve, the third generator is communicated with the condenser via a second throttling valve, the second generator is provided with a steam channel used for communicating with the condenser, the third generator is provided with a steam channel used for communicating with the first absorber, the condenser is communicated with an evaporator via a third throttling valve, and the evaporator is provided with a steam channel used for communicating with the second absorber, so that the double-effect first-type absorption heat pump with the heat return end and the heat supply end is formed.