To establish a technique for stably and industrially producing a polyalkylene carbonate, free from problem on environment and hygiene in reaction of carbon dioxide with an epoxide and enabling handling of a polymer during production.

The method for producing the polyalkylene carbonate by a solution polymerization method comprises reacting carbon dioxide with the epoxide in the presence of a carbonate-based solvent or an ether-based solvent. In the production method, a zinc-containing catalyst is preferably used as a catalyst and a solvent dissolving ≥5 wt.% of produced polyalkylene carbonate at ≥25°C, e.g. dimethyl carbonate, methylethyl carbonate or 1,3-dioxolan, dioxane is preferably used as the solvent.