A weather-resistant crosslinked polyolefin composition is a novel formula containing a comprehensive mixture constituted by crosslinking agent, antistatic agent, TiO2 sized in nanometer and TiO2 sized in micrometer and essential components including polyolefin composition resin, lubricant auxiliary crosslinking agent, antioxidant, UV absorber and filler etc; this novel formula is particularly suited to produce a weather-resistant crosslinked polyolefin sheet with a calender machine instead of an extruder conventionally used, and the polyolefin sheets produced thereof are excellent in both heat-resistant and weather-resistant as well as in a high-quality sheet surface and capably made at a high yield rate through the calender machine.