An electro-pneumatic brake control device is provided for controlling the parking brake of a vehicle having compressed-air-actuated brake cylinders, at least one of which is a spring brake cylinder with a spring store part. Valve devices place the brake control device into various operating states. In a first operating state, the valve devices are at least partially supplied with current and switched such that a compressed air line to the spring store part of the spring brake cylinder is aerated. In a second state, the valve devices are at least partially supplied with current and switched such that the compressed air line is deaerated. In a third state, which can be activated in the event of failure of the electrical energy supply of the brake control device, the valve devices are switched to a currentless state such that the compressed air line is automatically deaerated in throttled manner.