The invention discloses a method for fixed-point functionalization of a polyolefin material and a continuous production method of the fixed-point functionalized polyolefin material. The method for fixed-point functionalization of the polyolefin material comprises the steps as follows: 1) polyolefin and a peroxide initiator are uniformly mixed for melt degradation, and degraded polyolefin with carbon-carbon double bonds at the tail end of a molecular chain is obtained; 2) the degraded polyolefin is immersed in a reaction solution, the reaction solution comprises a functionalization initiator, functional monomers and a surfactant, the carbon-carbon double bonds at the tail end of the molecular chain of the degraded polyolefin react with functional monomers in the reaction solution under ultraviolet irradiation, and the polyolefin material with a functionalized end group is obtained. With the adoption of the method, a functional group can be grafted at the chain end of the molecular chainof polyolefin in a fixed point manner, the grafting efficiency is higher, and the use effect of the functionalized polyolefin can be improved.