A method for the manufacture of a subcaliber projectile as well as a projectile (1) which is formed according to the method and which comprises a penetrator (2), a propelling cage (3) surrounding the central or mid-portion of the penetrator, and a plastic cap (5) that is arranged on the front of the propelling cage (3) and is conically tapered toward the penetrator point (4). For an easy and cost-effective way of manufacturing the connection between the plastic cap (5) and the propelling cage (3), according to the invention a thermoplastic synthetic material is used as the material for the cap (5), and the plastic cap (5) is attached by ultrasonic welding to the propelling cage (3). For this purpose, the plastic cap (5) is heated at certain points along its circumference, in at least two different partial regions (11), and is formed or molded into a groove-shaped recess (9) provided on the outer surface of the forward region of the propelling cage and covered by a rear portion of the cap, such that the knob-shaped, inward-pointing regions (12) of the plastic cap (5) resulting from the heating engage form-fittingly in the groove-shaped recess (9) of the propelling cage (3).