The object of the present invention is to provide a polymeric material without odors or fuming and with reduced stickiness of the worked surface of material for seals and workability during laser processing, and the flexographic printing plate and sealing material made of the polymeric material having excellent characteristics of laser processing and having sufficient carving depth. The polymeric material of the present invention is characterized in that the polymeric material is made by crosslinking a polymer composition comprising a polymer which contains an ethylene unit as a repeating unit in content of 45% or more by mass and an organic peroxide. Another object of the present invention is to provide a laminated body for laser processing with excellent workability upon laser processing and a flexographic printing plate with excellent printing performance and workability and a method for fabricating the same. The laminated body for laser processing of the present invention comprises a polymer layer for laser processing which is fabricated by crosslinking a polymer composition containing an ethylenic copolymer, and a base layer laminated on one of the surfaces of the polymer layer for laser processing, whereby peeling the polymer layer for laser processing from the base layer at the interface.