A composition for aqueous coating material which has a low content of an organic solvent and presents little burden on the environment and which is excellent in storage stability. A composition for aqueous coating material, which comprises a synthetic resin containing a fluorinated copolymer comprising from 40 to 60 mol % of a fluoro-olefin unit, from 3 to 50 mol % of an alkyl vinyl ether or alkyl vinyl ester unit, from 4 to 30 mol % of a hydroxyl group-containing vinyl ether unit and 0.4 to 7 mol % of a structural unit of the following formula