In an HEMT device, a gate region is formed in a wafer having a channel layer, a barrier layer, and a passivation layer, overlying each other. Drain and source electrodes are formed in the wafer, on different sides of the gate region. A dielectric layer is formed over the gate region and over the passivation layer. Selective portions of the dielectric layer are removed by a plurality of etches so as to form one or more cavities between the gate region and the drain electrode. The one or more cavities have a plurality of steps at an increasing distance from the wafer moving from the gate region to the drain electrode. The cavity is then filled with conductive material to form a field plate coupled to the source electrode, extending over the gate region, and having a surface facing the wafer and having a plurality of steps.