A thread rolling dies for producing dog point threads is capable of preventing slips of an outer surface of screw blank when rolling, thereby avoiding breakage of the dog point thread. The dog point thread has a thread portion provided with external threads and a dog point having an outer diameter smaller than an outer diameter of the thread portion. The thread rolling dies is configured with a thread portion rolling surface having a thread portion dies ridge for forming a groove of the thread portion of the dog point thread and a thread portion dies groove for forming a ridge of the thread portion of the dog point thread, and a dog point rolling surface provided in parallel with the thread rolling surface and having a dog point dies ridge for forming a groove on the dog point of the dog point thread and a dog point dies groove for forming a ridge on the dog point of the dog point thread.