A cylinder head housing for a combustion unit, which forms at least two cylinders arranged in-line, having receiving openings for one outlet valve each, which are assigned to the individual cylinders of the combustion unit, comprising exhaust gas channels, which extend from these outlet valve receiving openings and are merged into an exhaust gas outlet channel, and cooling channels having a roof distribution channel which is connected to an injector cooling channel provided for an arrangement above a cylinder and/or having a manifold distribution channel, which extends along the row of outlet valve receiving openings, the manifold distribution channel being connected to a plurality of manifold network channels running along the exhaust gas channels, which are directly or indirectly connected to a manifold collection channel, which extends along the row of outlet valve receiving openings.