A cylinder head arrangement (1) is provided for an internal combustion engine of a motor vehicle. The cylinder head arrangement includes, a combustion chamber (5), a first intake valve (6) in a first intake port (3), as well as a first exhaust valve (16) in a first exhaust port (18) and a second exhaust valve (17) in a second exhaust port (19). The second exhaust port (19) is realized in such a way that a gas flow (24) from the second exhaust port (19) back into the combustion chamber (5) results in an at least partially swirling flow in the combustion chamber (5).