The invention relates to a multicylinder internal combustion engine (1) comprising intake valves and exhaust valves that are provided with at least one additional valve (10) for each cylinder (C1, C2, C3, C4, C5, C6), a preferably tubular pressure container (9) with a gas chamber (90) into which extend ducts (11) originating from the valves (10) such that gas can be exchanged between individual cylinders (C1, C2, C3, C4, C5, C6) when the valves (10) are actuated. The pressure container (9) is provided with a device (17) for cooling the quantities of gas exchanged between individual cylinders (C1, C2, C3, C4, C5, C6). In order to increase the cooling capacity, the cooling device (17) encompasses at least one cooling pipe (17) which is axially inserted into the pressure container (9) and is penetrated by coolant. The outer jacket (171) of the cooling pipe (170) borders the gas chamber (90), the gas that is exchanged between individual cylinders (C1, C2, C3, C4, C5, C6) flowing around said outer jacket (171).