A cooling structure (1) for a cylinder head (2) of an internal combustion engine includes a lower first cooling jacket (12) adjacent to a fire deck (13) and an upper second cooling jacket (14) adjacent to an intermediate deck (15), the first and second cooling jackets (12, 14) being flow connected by at least one transfer opening (27, 31) of the intermediate deck (15), the first cooling jacket (3) including at least one center cooling chamber (17) and an outer cooling chamber arrangement with at least one first outer cooling chamber (16), the outer cooling chamber (16) and the center cooling chamber (17) being flow connected by at least one exhaust side first radial passage (19) extending in a region of the exhaust valve bridge (8) and by at least one second radial passage (20, 21), the first radial passage (19) and the second radial passage (20, 21) being streamed hydraulically in parallel. The outer cooling chamber arrange-ment of the first cooling jacket (12) includes at least one first outer cooling chamber (16) and at least one second outer cooling chamber (29), which is separated from the first outer cooling chamber (16) by at least one flow restricting passage, whereas the second outer cooling chamber (29) is flow connected with the center cooling chamber (17) by at least one intake radial passage (24, 25, 26) extending in a region of an intake valve bridge (9) and/or in a region of an intake-exhaust valve bridge (10, 11).