A method of building a sequence of tires different from each other, includes generating a first deposition surface by a first series of consecutive circumferential sectors. The first deposition surface is selected as a function of the type of a first tire to be built. Each circumferential sector of the first series is removably coupled to a central body of a forming drum. The method further includes manufacturing at least one component of the at least one first tire by deposition of the at least one component at a radially external position to the first deposition surface of the forming drum, removing the at least one component from the forming drum and replacing each circumferential sector of the first series with a circumferential sector of a second series for generating a second deposition surface selected as a function of the type of a second tire to be built which is different from the first tire. The replacement includes uncoupling each circumferential sector of the first series from the central body and removably coupling each circumferential sector of the second series to the same central body.