A ball striking cue comprises a butt section, a shaft section, and a self-locking joint for removably interconnecting the butt and shaft sections end to end. The joint includes the proximate end of the shaft section formed with a conical hole, and the proximate end of the butt section formed with a conical extension. These hole and extension constitute the unique point of contact between the butt and shaft sections. They have complementary shapes and the hole has smaller radial dimensions than the extension whereby the extension can be forced in the hole to press fit the extension in the hole and thereby removably interconnect the butt and shaft sections with a spacing between the bottom of the hole and the free end of the extension. The conical hole and extension widens out and tapers, respectively, at an angle which is function of the nature of their material to enable press fit and retention of the extension in the hole while enabling separation thereof by forcing them axially apart from each other. To facilitate separation of the hole and extension, the proximate end of the butt section has a threaded cylindrical surface on which an internally threaded sleeve is mounted, and the proximate end of the shaft section has an annular abutment surface facing one end of the sleeve whereby the sleeve is rotated to abut against the annular surface and spread the hole and extension apart form each other.