Method for applying a sensing device to a tyre, the method comprising: - providing a support, having a tape-shaped conformation, and a plurality of sensing devices, each sensing device having a characteristic direction, wherein each sensing device is removably fixed to the tape-shaped support at an adhesion surface of said each sensing device; - providing a handling device having a respective characteristic direction; - feeding in sequence a set of tyres for vehicle wheels; - advancing said support for feeding in sequence said plurality of sensing devices along a respective feeding direction, wherein a first angular relation between said characteristic direction of each sensing device and said feeding direction is predetermined and it is equal for all the sensing devices; - for each tyre of said set of tyres, rigidly coupling said handling device to a respective sensing device maintaining at least a portion of said adhesion surface of said respective sensing device removably fixed to said support, wherein said rigid coupling is performed with a predetermined second angular relation between said characteristic direction of the handling device and said feeding direction to achieve a predetermined third angular relation between said characteristic direction of the handling device and said characteristic direction of said respective sensing device; - maintaining said third angular relation, completely separating said respective sensing device from said support and taking said respective sensing device away by said handling device; - maintaining said third angular relation, applying said respective sensing device to an inner surface of said each tyre by said handling device arranged in order to achieve a predetermined fourth angular relation between said characteristic direction of the handling device and a direction of intersection of an equatorial plane with the inner surface of said each tyre. - providing a support, having a tape-shaped conformation, and a plurality of sensing devices, each sensing device having a characteristic direction, wherein each sensing device is removably fixed to the tape-shaped support at an adhesion surface of said each sensing device; - providing a handling device having a respective characteristic direction; - feeding in sequence a set of tyres for vehicle wheels; - advancing said support for feeding in sequence said plurality of sensing devices along a respective feeding direction, wherein a first angular relation between said characteristic direction of each sensing device and said feeding direction is predetermined and it is equal for all the sensing devices; - for each tyre of said set of tyres, rigidly coupling said handling device to a respective sensing device maintaining at least a portion of said adhesion surface of said respective sensing device removably fixed to said support, wherein said rigid coupling is performed with a predetermined second angular relation between said characteristic direction of the handling device and said feeding direction to achieve a predetermined third angular relation between said characteristic direction of the handling device and said characteristic direction of said respective sensing device; - maintaining said third angular relation, completely separating said respective sensing device from said support and taking said respective sensing device away by said handling device; - maintaining said third angular relation, applying said respective sensing device to an inner surface of said each tyre by said handling device arranged in order to achieve a predetermined fourth angular relation between said characteristic direction of the handling device and a direction of intersection of an equatorial plane with the inner surface of said each tyre.