A method for manufacturing a tire for vehicle wheels includes the steps of building a carcass structure, including at least one carcass ply associated with annular anchoring structures, on a forming support, building a belt structure in a radially outer position with respect to the carcass structure and building a tread band in a radially outer position with respect to the belt structure, wherein the at least one carcass ply, the annular anchoring structures and the belt structure each include at least one reinforcing element deposited in a radially outer position with respect to the forming support. The deposition of the at least one reinforcing element includes the steps of setting a first deposition path of the at least one reinforcing element on the forming support based upon a theoretical deposition profile; detecting the deviations between an actual deposition profile and the theoretical profile along the first deposition path, defining, based upon the deviations, an actual deposition path of the at least one reinforcing element on the forming support; and depositing the at least one reinforcing element on the forming support along the actual deposition path.