The invention relates to the technical field of blanket production, in particular to a production method of a blanket with strong color fastness, which comprises the steps of warping weaving, white grey fabric treatment, grey fabric printing and dyeing, drying and fixation, finishing and shaping, finished product preparation and the like, wherein the raw material fiber yarn is polyester fiber yarn, the polyester fiber yarn is mainly prepared from polyethylene terephthalate, polyvinyl chloride resin, polytetrafluoroethylene resin, nano fluorite powder, barium stearate, dicumyl peroxide, zinc oxide and silane coupling agent are compounded, and the used pigment is disperse dye, during the steaming process, a drying and steaming integrated machine is used for uniformly and fully drying and steaming. The production method has the advantages of low energy consumption, low cost and high production efficiency, has good dyeing effect on the blanket, has high color fastness, and can avoid the phenomenon that the blanket is prone to rubbing and fading, and the like. The produced blanket has good luster, smooth grey fabric surface and long use time.