A method for producing a film composite made of a plurality of material webs (14, 15, 16, 17, 18) for a document of value or security document, - in which each material web (14, 15, 16, 17, 18) is transported along at least one transport roller (21, 22, 23, 24, 25) and is fed into at least one laminating device, - in which material webs (14, 15, 16, 17, 18), the number of which is less than the number of material webs forming the film composite but equals at least two material webs (14, 15), are fed into a prelaminator and are laminated together so as to form a card core composite, and - in which said card core composite is fed into the at least one laminating device together with a number of further material webs (16, 17, 18) which is smaller than that of the remaining material webs (16, 17, 18) or which is equal to the number of the remaining material webs (16, 17, 18) and said material webs are laminated together so as to form the film composite characterised in that - at least two material webs (14, 15, 16) fed into the prelaminator and laminated together to form the card core composite and the remaining number of material webs (17, 18) fed into the laminating device and said card core composite are preheated using at least one heating element (29, 30, 31, 32), and - the remaining number of supplied material webs (17, 18) are each fed into the laminating device via a transport roller (21, 22, 23, 24, 25) and in that at least one heating element (29, 30, 31, 32) is positioned respectively between two adjacent material webs (12, 17; 12, 18) and is operative to preheat the surfaces of the adjacent material webs (12, 17; 12, 18) which face each other and which are to be laminated. - in which each material web (14, 15, 16, 17, 18) is transported along at least one transport roller (21, 22, 23, 24, 25) and is fed into at least one laminating device, - in which material webs (14, 15, 16, 17, 18), the number of which is less than the number of material webs forming the film composite but equals at least two material webs (14, 15), are fed into a prelaminator and are laminated together so as to form a card core composite, and - in which said card core composite is fed into the at least one laminating device together with a number of further material webs (16, 17, 18) which is smaller than that of the remaining material webs (16, 17, 18) or which is equal to the number of the remaining material webs (16, 17, 18) and said material webs are laminated together so as to form the film composite characterised in that - at least two material webs (14, 15, 16) fed into the prelaminator and laminated together to form the card core composite and the remaining number of material webs (17, 18) fed into the laminating device and said card core composite are preheated using at least one heating element (29, 30, 31, 32), and - the remaining number of supplied material webs (17, 18) are each fed into the laminating device via a transport roller (21, 22, 23, 24, 25) and in that at least one heating element (29, 30, 31, 32) is positioned respectively between two adjacent material webs (12, 17; 12, 18) and is operative to preheat the surfaces of the adjacent material webs (12, 17; 12, 18) which face each other and which are to be laminated.