A rotor for a synchronous reluctance machine having an even number 2 p of poles circumferentially spaced at an angle α, with α=2 π/2 p, the rotor comprising a substantially cylindrical laminate stack having a plurality of magnetically conductive laminations. One or more of the magnetically conductive laminations includes non-magnetic flux barriers which are spaced from each other in the radial direction, one or more of the non-magnetic flux barriers having a first and second bridge transversally positioned in correspondence of their lateral ends and defining a first and a second air-gap with the outer rim of the magnetically conductive lamination, and further including a third and a fourth bridge transversally positioned and respectively defining together with the first and second bridge a first and a second internal space which are filled with an electrically conductive and non-magnetically conductive material.