The invention relates to a high-pressure discharge lamp, in particular a vehicle headlight high-pressure discharge lamp, having a lamp base, in whose interior is arranged a starting apparatus for the purpose of starting the gas discharge in the high-pressure discharge lamp and which is provided with an electromagnetic shield, and having a discharge vessel which has an end near to the base and an end remote from the base, a power supply line protruding out of the end, remote from the base, of the discharge vessel being passed back to the lamp base and being electrically coupled to the electromagnetic shield. The electromagnetic shield is preferably connected to the ground reference potential of an operating device of the high-pressure discharge lamp.