Modern requirements for critical threads, such as drilling lock threads or running trapezoidal threads of heavy machine tools dictate the need for very durable and at the same time very accurate thread cutters. Conventional thread cutters supplied to the world market have the same profile as the thread for which they are intended. However, for durability and productivity, such tools should have effective geometric parameters of the cutting part, namely: the rake angle and the angle of inclination of the cutting edge. However, there are no known algorithms for profiling such cutters in order to ensure their maximum possible accuracy. This analytical study is specifically designed to identify an algorithm that makes it possible to make highly productive and at the same time highly accurate thread cutters with straight sides of the profile for the manufacture of threads with trapezoidal, triangular and buttress profiles, including for parts made of difficult-to-machine materials.