Abstract: A method and an machine for the manufacturing of syringes by vertically feeding long glass tubes to an intermittently rotary forming machine, having two horizontally rotary machine sections each intermittently rotating on a central vertical axis of a stationary machine frame, to a plurality of forming stations, each machine section having a plurality of continuously rotary gripping chucks mounted on the stationary machine frame, a plurality of burner nozzles and a plurality of forming tools, for firstly opening a closed lower end of a glass tube, forming a tip for a needle at the lower end of the glass tube, cutting off a syringe body including the tip at a lower end, and then translating the syringe body to the second machine forming section for opening a closed upper end of the syringe body, forming a finger flange at the upper end of the syringe body and release the finished syringe body at a discharging machine.