Abstract: An improved method of dyeing a polyolefin material, and preferably a polypropylene based fiber, involves a disperse dye mix including a selected plurality of disperse dyes from the same primary color group. Each dye within the mix and the concentration of each dye within the mix is selected by testing individual disperse dye solutions with an undyed sample and determining the maximum dye concentration which will produce an acceptable crocking test for that dye. A plurality of disperse dyes within the mix are each at a concentration of at least 75% of the maximum dye concentration for that individual dye. The selected dye mix is used to prepare a disperse dye mix solution which is then contacted with the polyolefin material to reliably dye the material without fastness problems. A red dye mix, a blue dye mix, and the yellow dye mix may each be prepared and may each be separately used to dye polypropylene fibers with relatively dark shade without crocking problems.