The invention relates to a hot-water direct-fired single-double effect compound type lithium bromide absorption type cold water and cold-hot water unit which comprises a direct-fired high pressure generator (7), an evaporator (22), an absorber (1), a low pressure generator, a condenser (21), a solution heat exchanger, a solution pump and a cryogenic fluid pump (24), wherein the low pressure generator comprises a hot-water generator (15) and a vapour generator (17); a hot-water heat exchange tube bundle (18) and a vapour heat exchange tube bundle (19) are arranged in a same cylinder body (20),and a splitter plate (16) is arranged between the hot-water heat exchange tube bundle (18) and the vapour heat exchange tube bundle (19); the solution heat exchanger comprises a high-temperature heatexchanger (6), a low-temperature heat exchanger (4) and a single-effect solution heat exchanger (5); the solution pump comprises a single-effect solution pump (23) and a double-effect solution pump (25), and the single-effect solution pump (23) and the single-effect solution heat exchanger (5) are arranged on a connecting pipeline positioned between the absorber (1) and the hot-water generator (15) to form a single-effect solution circulation process system. The hot-water direct-fired single-double effect compound type lithium bromide absorption type cold water and cold-hot water unit enablesthe single-effect solution circulating load and the double-effect solution circulating load to be nicely matched with heating load.