A tyre having a directional tread (1) comprising two edges (3) and a centre (5) and also comprising a plurality of blocks (7) extending continuously, following a global curvature C of one of the edges (3) towards the centre (5) of said tread and forming a central block end (8) with a central wall (2), wherein each block (7) is of width WB and length LB, the width flaring from the central end (8) of a block towards the edge (3), all or a few of the blocks (7) of the tread having a median incision (9) of length S extending from the central end (8) of the block along a curvature that is substantially identical to the curvature C of the block.