The invention relates to the field of preparation of cross-linked grafted polyethylene by high melt index polyethylene, and discloses a crosslinkable grafted polyethylene composition, a cross-linked grafted polyethylene product, a preparation method thereof, and a product thereof. The composition comprises polyethylene, a cross-linking agent, a cross-linking assistant, a stabilizer, a processing modifier, an antioxidant and a lubricant; the melt index of the polyethylene at 190 DEG C at a load of 2.16 kg is more than 30 g / 10 min, the stabilizer is at least one kind of free radical stabilizers selected from the group consisting of phosphorous acid tri(2,2,6,6-tetramethyl-1-piperidinyloxy)ester, 2,2-di(4-tert-octylphenyl)-1-pierylhydrazine and nitrogen-oxygen free radical piperidycol; the processing modifier is at least one kind of compounds selected from the group consisting of methacrylic anhydride, glycidyl methacrylate, acrylic anhydride, maleic anhydride, maleic anhydride monoester, succinic anhydride, succinic anhydride monoester, fumaric acid anhydride and fumaric anhydride monoester. The high-melt-index polyethylene can be processed into the cross-linked grafted polyethylene product, and the focal burning time window is wide.