Method for producing a vehicle tyre having a tyre carcass, tyre beads with bead cores, sidewalls, a tyre belt and a tread strip having the following steps: a) completing of a tyre carcass on a carcass drum, no tyre construction parts in the form of sidewalls being placed on the carcass drum, b) removing of the tyre carcass from the carcass drum by way of a carcass transfer unit, c) arranging of sidewalls on a sidewall drum, d) positioning of the tyre carcass over the sidewalls which are arranged on the sidewall drum, the carcass transfer unit with the tyre carcass and the sidewall drum being arranged coaxially, e) connecting of the sidewalls to the tyre carcass, the sidewalls being connected to the tyre carcass only in the regions of the tyre beads, the sidewalls having, in relation to the tyre beads of the tyre carcass, in each case one inner sidewall component which projects on the inner side and one outer sidewall component which projects on the outer side, f) positioning of the carcass transfer unit with the tyre carcass and the sidewalls on a building drum, the building drum comprising segment carriers that can expand in the radial direction and on which resilient segment supports are positioned radially on the outer side, the tyre beads of the tyre carcass being positioned radially on the outer side in relation to the resilient segment supports, g) folding up of the inner sidewall components and those regions of the outer sidewall components which adjoin the tyre beads, the segment carriers of the building drum expanding, the tyre beads and the sidewalls being pressed into the resilient segment supports at least to such an extent that the inner sidewall components are pressed completely into the resilient segment supports, the inner sidewall components being connected to the inner side of the tyre carcass, and the pressed-in regions of the outer sidewall components being connected to the outer side of the tyre carcass, h) moving together of the segment carriers of the building drum, i) moving of the carcass transfer unit with the tyre carcass and the sidewalls to a shaping drum, j) transferring of the tyre carcass from the carcass transfer unit to the shaping drum and moving away of the carcass transfer unit from the shaping drum, k) shaping of the tyre carcass with the sidewalls which are attached on both sides, the sidewalls being folded up laterally on the tyre carcass by way of a folding-up means, and the tyre carcass being combined with the coaxially arranged tyre belt/tread strip assembly, l) finishing of the green tyre by way of further steps. a) completing of a tyre carcass on a carcass drum, no tyre construction parts in the form of sidewalls being placed on the carcass drum, b) removing of the tyre carcass from the carcass drum by way of a carcass transfer unit, c) arranging of sidewalls on a sidewall drum, d) positioning of the tyre carcass over the sidewalls which are arranged on the sidewall drum, the carcass transfer unit with the tyre carcass and the sidewall drum being arranged coaxially, e) connecting of the sidewalls to the tyre carcass, the sidewalls being connected to the tyre carcass only in the regions of the tyre beads, the sidewalls having, in relation to the tyre beads of the tyre carcass, in each case one inner sidewall component which projects on the inner side and one outer sidewall component which projects on the outer side, f) positioning of the carcass transfer unit with the tyre carcass and the sidewalls on a building drum, the building drum comprising segment carriers that can expand in the radial direction and on which resilient segment supports are positioned radially on the outer side, the tyre beads of the tyre carcass being positioned radially on the outer side in relation to the resilient segment supports, g) folding up of the inner sidewall components and those regions of the outer sidewall components which adjoin the tyre beads, the segment carriers of the building drum expanding, the tyre beads and the sidewalls being pressed into the resilient segment supports at least to such an extent that the inner sidewall components are pressed completely into the resilient segment supports, the inner sidewall components being connected to the inner side of the tyre carcass, and the pressed-in regions of the outer sidewall components being connected to the outer side of the tyre carcass, h) moving together of the segment carriers of the building drum, i) moving of the carcass transfer unit with the tyre carcass and the sidewalls to a shaping drum, j) transferring of the tyre carcass from the carcass transfer unit to the shaping drum and moving away of the carcass transfer unit from the shaping drum, k) shaping of the tyre carcass with the sidewalls which are attached on both sides, the sidewalls being folded up laterally on the tyre carcass by way of a folding-up means, and the tyre carcass being combined with the coaxially arranged tyre belt/tread strip assembly, l) finishing of the green tyre by way of further steps.