Method for managing a carcass structure building line for tyres of vehicle wheels, comprising: - associating a pair of support elements (17, 18) comprising a first support element and a second support element with a forming drum in a service position of the carcass structure building line; - moving the first support element inside the carcass structure building line according to a first, a second and a third movement, wherein: • in the first movement, the first support element is moved in a deposition line associated, together with the second support element, with said forming drum for building at least one structural component of the carcass structure of a tyre being processed, • in the second movement, the first support element is transferred, associated with said forming drum, to a subsequent work station in which at least one further structural component of the carcass structure is built with the forming drum dissociated from the pair of support elements (17, 18), • in the third movement, the first support element is transferred, dissociated from said forming drum, from said subsequent work station to the service position, - wherein the second support element is dissociated from the forming drum while the first support element is moved according to the second and third movement. - associating a pair of support elements (17, 18) comprising a first support element and a second support element with a forming drum in a service position of the carcass structure building line; - moving the first support element inside the carcass structure building line according to a first, a second and a third movement, wherein: • in the first movement, the first support element is moved in a deposition line associated, together with the second support element, with said forming drum for building at least one structural component of the carcass structure of a tyre being processed, • in the second movement, the first support element is transferred, associated with said forming drum, to a subsequent work station in which at least one further structural component of the carcass structure is built with the forming drum dissociated from the pair of support elements (17, 18), • in the third movement, the first support element is transferred, dissociated from said forming drum, from said subsequent work station to the service position, • in the first movement, the first support element is moved in a deposition line associated, together with the second support element, with said forming drum for building at least one structural component of the carcass structure of a tyre being processed, • in the second movement, the first support element is transferred, associated with said forming drum, to a subsequent work station in which at least one further structural component of the carcass structure is built with the forming drum dissociated from the pair of support elements (17, 18), • in the third movement, the first support element is transferred, dissociated from said forming drum, from said subsequent work station to the service position, - wherein the second support element is dissociated from the forming drum while the first support element is moved according to the second and third movement.