Abstract: A liquid-cooled, four-valve cylinder head for a multi-cylinder internal-combustion engine comprises a casting having a cooling-fluid space between the cylinder-head bottom and a cylinder-head cover in which supporting struts are arranged for reinforcing the cylinder-head bottom, valve channels of gas-reversing valves and chambers for receiving secondary combustion spaces. Above the cooling-fluid space is located a control space with guide housings for receiving the cup tappets for the actuation of the gas-reversing valves. In order to obtain a cylinder-head construction which is structurally rigid and nevertheless can easily be produced, the chambers are cast together with the valve channels within the cooling-fluid space. Further, the supporting struts are equipped with ribs projecting into adjacent combustion-space portions, and the lateral outer walls of the cylinder-head housing are connected to one another in the region of the control space by transverse booms.