The invention relates to a tangential thread rolling head comprising two fork-like rolling head arms each rotatably coupled with a thread roll by an axle. The thread rolls respectively engage with a pinion and can be pushed laterally into an assembled position into the rolling head arms before installation of axles, in which one of the axles can be pushed into a bearing bore hole of the thread rolls. The thread rolls and the pinions have interacting catches that are configured such that each of the thread rolls can only be pushed laterally into the assembled position in a single defined rotary position.