Tyre (1) for heavy load vehicle wheels, having a tread band (8) comprising: —a plurality of circumferential grooves (3, 4, 5, 6); —a plurality of transverse grooves (15) extending between two axially consecutive circumferential grooves (3, 4, 5, 6), thus defining a plurality of blocks (21); —each block (21) comprising a radially outer top surface (7) and having a height (M) measured between said top surface and a bottom surface of a respective transverse groove (15); —said transverse grooves (15) comprising a first segment (16) having a width L1 and a second segment (17) having a width L2, where L2