The invention discloses composite polymer modified asphalt and a preparing method of the composite polymer modified asphalt. The composite polymer modified asphalt comprises, by weight, SBS, SBR, EVA, LDPE, rubber oil, matrix asphalt, crack resistant fibers, padding and nanometer age resisters. The preparing method of the composite polymer modified asphalt includes the steps of weighing the raw materials according to the weight proportion, adding the SBS, the SBR, the EVA, the LDPE and the rubber oil into a modification mixing tank, carrying out stirring at the rotation speed ranging from 800 r/min to 1000 r/min, then adding the matrix asphalt, sequentially adding the crack resistant fibers, the padding and the nanometer age resisters while stirring is carried out, carrying out stirring, heating the mixture to be at 195 DEG C to 235 DEG C, and carrying out high-speed shearing for 60 min to 90 min at the rotating speed ranging from 3000 r/min to 4000 r/min. The composite polymer modified asphalt is good in age resistance, the high-temperature resistance and the high-temperature storage stability are improved, and the asphalt road surface use requirement can be met.