A method for manufacturing a graphene composite film includes preparing a zeolite suspension containing zeolite nanocrystals with a concentration of 50-100 ppm and with a particle size of 50-80 nm. The zeolite suspension has a pH value of 11-13. A graphene oxide suspension containing graphene oxide with a concentration of 50-200 ppm is mixed with the zeolite suspension to form a composite solution. The composite solution is transferred into a 15° C. water bath when a color of the composite solution turns from brownish-yellow into deep brown. A surfactant is added into the composite solution in the 15° C. water bath. The composite solution is then sonicated for 5-30 minutes and removed out of the 15° C. water bath, with the color of the composite solution turning from deep brown into black. The composite solution is further processed to form a graphene composite film having not more than 5 layers.