Cylinder head cooling structure for an internal combustion engine

A cooling water path (5) is equipped with an intake side cooling path (6) formed between an intake port wall portion and a cylinder head peripheral wall portion (4), an exhaust side cooling path (8) formed between an exhaust port wall portion and the cylinder head peripheral wall portion (4), and a central cooling path (7) formed between the intake port wall portion and the exhaust port wall portion; there is formed a communication path (34) communicating the central cooling path (7) with at least one of the intake side cooling path (6) and the exhaust side cooling path (8); through the communication path (34), a high flow rate portion and a low flow rate portion are formed in the central cooling path (7), and the proportion of the high flow rate portion in a central portion (37) of the central cooling path is larger than the proportion of the high flow rate portion in the end portions of the central cooling path (7) other than the central portion (37).