The invention discloses a multibranched polyaryletherketone anion-exchange membrane and a preparation method thereof and belongs to the technical field of alkaline anion-exchange membranes. At first,an amino substituted polyaryletherketone polymer with favorable solubility and stability is synthesized, and then amino of the polymer is directly taken as a grafting site to perform functional grafting on the polymer to obtain a membrane material and prepare the membrane. The prepared multibranched polyaryletherketone anion-exchange membrane has good alkali stability and high ionic conductivity and can be applied to alkaline fuel cells.