By study on the current domestic cutting technics of vertical-pull glass pipe, in this paper a new and practical design of automatic cutting robot is peoposed. Its motion process is introduced on the basis of performance requirement, and then the overall structure of automatic cutting robot for vertical-pull glass pipe is designed, especially the electro-hydraulic proportional control systems for frame rotation and fuselage lifting. Meanwhile the stability and respond speed of hydraulic systems is well analyzed with matlab software. The results of open-loop bode diagram of the frame rotation system and unit step response diagram of fuselage lifting system indicate that the automatic cutting robot has excellent system stability and respond speed. It can content the requirement of position accuracy, reduce the labor intensity with high productivity and liberate the workers from wicked environment.