Method for controlling a tyre production process, wherein a finished tyre is obtained from a green tyre through at least a moulding and curing process, comprising: determining first parameters (P1) describing said finished tyre; activating a processor for computing, as a function of said first parameters (P1), second parameters (P2) describing a carcass sleeve and third parameters (P3) describing a crown sleeve , said carcass sleeve and said crown sleeve being used for building said green tyre; wherein said second parameters (P2) comprise at least one parameter representative of an outer diameter (D1) of said carcass sleeve ; wherein said third parameters (P3) comprise at least one parameter representative of an inner diameter (D2) of said crown sleeve ; through said processor , retrieving from a memory (M) associated with said processor a first mathematical model (MM1) describing a process of shaping said carcass sleeve when the latter is shaped to adhere to the radially inner surface of said crown sleeve , for obtaining said green tyre; activating said processor for computing, as a function of said second parameters (P2), said third parameters (P3) and said first mathematical model (MM1), one or more operating parameters (OP) for the execution of a building process for building said green tyre; wherein said one or more operating parameters (OP) comprise at least one parameter associated with an axial dimension of said green tyre; wherein said first mathematical model (MM1) puts the axial dimension of said green tyre in relation with a difference between the inner diameter (D2) of said crown sleeve and the outer diameter (D1) of said carcass sleeve ; through a control device , acquiring said one or more operating parameters (OP) and controlling one or more operating apparatuses (30; 40, 41; 50, 51) for executing said building process. determining first parameters (P1) describing said finished tyre; activating a processor for computing, as a function of said first parameters (P1), second parameters (P2) describing a carcass sleeve and third parameters (P3) describing a crown sleeve , said carcass sleeve and said crown sleeve being used for building said green tyre; wherein said second parameters (P2) comprise at least one parameter representative of an outer diameter (D1) of said carcass sleeve ; wherein said third parameters (P3) comprise at least one parameter representative of an inner diameter (D2) of said crown sleeve ; through said processor , retrieving from a memory (M) associated with said processor a first mathematical model (MM1) describing a process of shaping said carcass sleeve when the latter is shaped to adhere to the radially inner surface of said crown sleeve , for obtaining said green tyre; activating said processor for computing, as a function of said second parameters (P2), said third parameters (P3) and said first mathematical model (MM1), one or more operating parameters (OP) for the execution of a building process for building said green tyre; wherein said one or more operating parameters (OP) comprise at least one parameter associated with an axial dimension of said green tyre; wherein said first mathematical model (MM1) puts the axial dimension of said green tyre in relation with a difference between the inner diameter (D2) of said crown sleeve and the outer diameter (D1) of said carcass sleeve ; through a control device , acquiring said one or more operating parameters (OP) and controlling one or more operating apparatuses (30; 40, 41; 50, 51) for executing said building process. <EOS>