A door arrangement includes a door leaf movable relative to a frame. A locking device in a locked state locks the door leaf to the frame by at least one locking element and in an unlocked state releases the door leaf relative to the frame. An actuating element selects the state of the locking device. To transmit a movement of the actuating element, the locking device has a connecting bar which is arranged displaceably on the door leaf, wherein a motor-operated drive unit for driving the connecting bar is provided. A sensor device for the contactless detection of a movement of the connecting bar is provided and the motor-operated drive unit can be activated in accordance with a movement of the connecting bar detected by the sensor device.