A method of producing an aluminum alloy sheet for a lithographic printing plate comprising homogenizing an ingot of the aluminum alloy comprising 0.03 to 0.15% of Si, 0.2 to 0.6% of Fe, 0.005 to 0.05% of Ti, and 2 to 30 ppm of Pb, with the balance being aluminum and unavoidable impurities at 500 to 610° C. for one hour or more, subjecting the homogenized product to rough hot rolling, a start temperature of the rough hot rolling being 430 to 500° C. and a finish temperature of the rough hot rolling being 400° C. or more, holding the product subjected to the rough hot rolling for 60 to 300 seconds after completion of the rough hot rolling to recrystallize the surface of the product, subjecting the resulting product to finish hot rolling that is finished at 330° C. or more, and cold-rolling the resulting product at a reduction ratio of 80% or more.