A programming device for the fuse of a projectile using programming coils transmitting a programming signal by induction to a receiver integral with the fuse, wherein the programming coils are integral with a substantially cylindrical wall of a corridor in which the projectile translates axially, the programming coils being made in the form of several elementary coils each encircling a ferrite core parallel to the axis of the corridor, the coils being distributed along several lines parallel to the corridor axis, the coils of one line being longitudinally staggered with respect to the coils of the neighboring line or lines.