A plant for building tyres for vehicle wheels includes a winding station, a configuring device, an unwinding station, and a building line. The winding station is configured to wind elongated elements of a first type on winding supports mounted on a first coupling device, and elongated elements of a second type on winding supports mounted on a second coupling device. The configuring device is configured to transfer winding supports onto coupling devices. The unwinding station is configured to simultaneously unwind elongated elements from winding supports. The building line includes at least one forming drum operatively associated with the unwinding station to simultaneously receive elongated elements from the unwinding station.