Abstract: A tyre building machine (1) comprises a rotatable drum (2), to which strips of material (7) can be applied. Strips of material (7) are transported to the drum (2) by means of conveyors (3). The run of the pieces of material (7) transversely in relation to the running direction is sensed by means of a first sensor (9) and fed to a position controlling device (12). To compensate for machine- or transfer-induced errors, at least one second sensor (16), which senses the position of the strip of material (7) transversely in relation to the running direction, is provided in the region of the drum (2). An output signal of this second sensor (16) is in operative connection with the position controlling device (12) to correct the setpoint value correspondingly (FIG. 1).