A projectile (10), where necessary covered with a jacket, possesses a front-side core (1) and a rear-side core (2). The rear-side core (2) here bears positively in a centered manner against the front-side core (1) and this rear-side core (2) fills the entire cylindrical and the frustoconically configured rear region (2) of the projectile (10). A contact zone (11, 12 is respectively configured on the two cores (1, 2), which contact zone allows the projectile (10) to be joined together in a press fit, a perfectly aligned external form (3) of the projectile (10) being obtained and the contact faces (15; 13; 11 to 12) of the cores (1, 2) directly touching one another substantially without a clearance or gap over the whole of the contact face (15; 13; 11 to 12). When the projectile (10) impacts upon a surface oriented in any chosen manner relative to the firing direction (20), the projectile (10) is split into two less dangerous projectile parts.