The invention relates to an arrangement including an internal combustion engine ignition device having a spark plug and a spark plug seat (in which the spark plug can be fastened in a fastening zone), and a cylinder head in which the spark plug is or can be mounted via the spark plug seat. The cylinder head has a cylinder head cooling cavity. The spark plug seat includes a temperature control medium chamber which is separate from the cylinder head cooling cavity and has a cooling medium feed line and a cooling medium discharge line. The temperature control medium chamber and the cylinder head cooling cavity are connected to separate medium temperature control devices and form separate medium systems.