The invention concerns a tyre running tread (1) with thickness E, said tread being provided with a plurality of cuts (3, 4, 27) delimited by gum walls (5, 6), said walls being perpendicular or oblique relative to the tread running surface (2). The invention is characterised in that the two main walls (5, 6) of at least one cut (3) located in the portion of the running tread affected by the crush of the tyre while running are linked by at least a linking gum element (7) and the total linking surface SE of the linking element(s) is not more than 80 % of the surface delimited by the geometrical contour L of minimum length and enclosing said total linking surface SE. The invention also concerns the method for producing a cut with at least one linking element.