To provide a method for producing a polymer, which contains: bringing a ring-opening polymerizable monomer containing an amide bond, and a compressive fluid into contact with each other to melt or dissolve the ring-opening polymerizable monomer containing an amide bond, followed by allowing the ring-opening polymerizable monomer containing an amide bond to react through ring-opening polymerization in the presence of a basic organic metal catalyst and a cocatalyst, to thereby obtain a polymer product.