The invention relates to a polysulfones-like polymer which contains repeating unit represented in the chemical formula 1. X is singly-bound or Ar1, and the Ar1 is substituted or non-substituted C6-C20 arylidene; M1 and M are independent hydrogen, lithium, sodium or potassium; a is equal to 5, and c is equal to 5, wherein a and c are independent integer from 1 to 5; e and f are independent integer from 0 to 4; R1, R2, R3 and R4 are independent C1-C20 straight chain or branched chain alkyl, C2-C20 alkenyl, C2-C20 alkynyl, C5-C20 cycloalkyl, C6-C20 aryl, C2-C20 heteroaryl, C7-C20 alkylaryl or C1-C20 alkoxy; and n is degree of polymerization of 10 to 10,000. The invention also relates to a method for preparing the polysulfones-like polymer, a macromolecule electrolyte membrane containing the polymer, a membrane electrode subassembly containing the electrolyte membrane and a fuel cell.