A method for manufacturing a tyre for vehicle wheels, includes a carcass structure having at least one carcass ply associated with axially opposite annular anchoring structures. The method includes the steps of manufacturing at least one pair of annular anchoring structures of the carcass structure and associating the pair of annular anchoring structures with the at least one carcass ply at axially opposite end flaps of the carcass ply. The step of manufacturing each annular anchoring structure includes the steps of manufacturing a bead core and coating the bead core with a reinforcement tape through an apparatus. The step of coating the bead core includes the steps of winding the reinforcement tape onto the bead core moving a tape deposition member with respect to the bead core. The step of manufacturing the annular anchoring structure further includes a step of loading the reinforcement tape onto the tape deposition member. This last step is carried out simultaneously with at least part of the step of winding the reinforcement tape onto the bead core.