A cooling structure for a cylinder head, wherein the cylinder head has formed therein an exhaust manifold having branch sections and also having a collecting section to which the branch sections connect; a first water jacket and a second water jacket, which cover the exhaust manifold; connection passages which supply cooling water in the second water jacket to the first water jacket; and a cooling water outlet which connects the first water jacket to the outside. The connection passages include the first connection passage which is closest to the collecting section, and the second connection passage which is located at the downstream end of each of the water jackets. The flow passage cross-sectional area of the second connection passage is set to be less than the flow passage cross-sectional area of the first connection passage.