A forming machine of points and grooves on the surface of a half-pipe comprises a plurality of groups of heating and forming devices, a control device and a pedal switch, wherein each group of the heating and forming device comprises an air cylinder and a heating plate connected with a piston rod of the air cylinder; a pit forming head is mounted on each heating plate; and the control device comprises a temperature controller and a time-delay relay. During work, the processed half-pipe is mounted on a guide groove, and the plurality of the groups of the heating and forming devices are mounted and fixed on a protective cover located above the processed half-pipe and distributed in a semicircle angle halving manner, and are parallel to a direction perpendicular to a surface tangent line of the half-pipe; the air cylinders taking compressed air as power enable the pit forming heads to be contacted with and separated from the processed half-pipe through expansion and retraction movements; the heating plates are connected with an external power supply through the temperature controller provided with a thermocouple; and the time-delay relay used for controlling the forming time is mounted in a control circuit of the air cylinders. The forming machine changes manual single forming of an original process into mechanical semi-automatic forming, the production efficiency is high, and the product quality is good.