The disclosure relates to a surgical staple defining a median folding zone which is continued by a pair of branches, each branch having a pointed fastening end and an intermediate clamping zone situated between the median folding zone and the pointed fastening end. The staple is deformable so that each branch can be folded relative to the median folding zone by causing each fastening end to approach the other branch, the staple being formed by a metal cutout pre-shaped by folding, and is of constant thickness. Intermediate clamping zones of the two branches are cut out such as to form at least two teeth, the edges of which form two complementary clamping surfaces, parallel to the median plane when the staple is folded. The cross-section of clamping surfaces correspond to the cross-section of the metal cutout.