The polycarboxylic acid concrete admixture of the present invention exhibits properties such as decreasing the concrete viscosity, improving the slump-retaining ability, and suppressing bleeding water, and is improved in the ability to cement compositions or the like. The above-mentioned polycarboxylic acid concrete admixture comprises a polycarboxylic acid polymer containing a polyalkylene glycol in the side chain, wherein the polycarboxylic acid polymer is obtained by polymerizing monomer components containing an alkyl (meth)acrylate monomer and a specific polyalkylene glycol unsaturated monomer and unsaturated carboxylic acid (salt) monomer, and it has a specific weight average molecular weight.