Provided is a composition for paper coating, including aliphatic polycarbonate having an average molecular weight of 50000˜3000000 obtained by reaction of one or at least two different kinds of epoxide compounds selected from the group consisting of (C2-C10)alkylene oxide substituted or unsubstituted with carbon dioxide, halogen, or alkoxy; (C4-C20)cycloalkylene oxide substituted or unsubstituted with halogen or alkoxy; and (C8-C20)styrene oxide substituted or unsubstituted with halogen, alkoxy, alkyl or aryl. Also, provided is a method for coating a paper, by extrusion-coating the composition for paper coating at 150 to 230° C. on the paper to manufacture a coated paper.