New pi-conjugated polymers having quinone units as the recurring units, e.g., poly(2-methyl-9,10-anthraquinone-1,4-diyl) P(Me-1,4-AQ) with molecular weight of 56000, have been prepared by dehalogenation polycondensation of dichloroquinones. P(Me-1,4-AQ) exhibits unique redox behaviors due to electronic interactions between the multiple redox centers in the polymer through the pi-conjugated system.