A method and an arrangement for manufacturing a multi-layer composite (13) by laminating a sheet-like element (6) onto a backing (2) in a laminating unit (1), having steps, in this order, of conveying the element (6) in a longitudinal direction, detecting a position of the element (6), correcting the position of the element (6) on the basis of the detected position and on the basis of a reference position (15), and bonding said element (6) onto the backing (2). The detection step comprises the phases of measuring the lateral position, an angle of pivoting, and a longitudinal position of the element (6), and the correction step includes phases of lateral movement (T), pivoting (P), and longitudinal movement (L) of the element (6), apparatus elements perform the steps.