An incendiary projectile possessing an incendiary composition arranged locally bonded about the internal casing surface of the projectile wall structure. The projectile has the inner casing surface of its wall structure covered with the incendiary composition in fixed adherence therewith, and the explosive in the inner space of the projectile extends into grid-structured interspaces or scorings for the mutual bounding of covered regions. In this connection, there is also disclosed a particularly advantageous method for the formation of a projectile which is designed in this manner, as well as an expediently employable arrangement for the implementation of the method.