Curable aqueous polyurethane polymer dispersions are described. The dispersion comprises a polyurethane copolymer having pendant (meth)acrylate groups and pendant carboxylic groups along the main chain and a tertiary aminofunctional unsaturated monomer that has reacted in an acid/base reaction with the carboxylic acid groups on the main chain. The dispersion can be applied to the surface of a substrate and cured using ultra-violet or electron-beam radiation to form a cured polyurethane having desired properties that does not emit volatile amine compounds.