A method and a device for operating an internal combustion engine having multiple cylinders allows for an operating state of the internal combustion engine to be switched over as quickly as possible following the receipt of a switchover request. For this purpose, at least one intake or exhaust valve of a cylinder is switched off or at least one switched-off intake or exhaust valve of the cylinder is switched on again in at least one operating state of the internal combustion engine in response to the switchover request.