The invention discloses a method for producing interwoven fabric of acetate fibers and cationic polyester composite filaments. The production method includes the steps of sequentially knitting of graycloth, scouring, dyeing, finishing, drying and shaping. Through improvement of the steps of knitting of the gray cloth, scouring and dyeing, the dyeing depth and fastness can both be taken into account when dyeing is performed at a temperature below 110 DEG C.