The invention provides a steel pipe packing rack capable of moving a packing device, and aims at stacking and packing steel pipes in the field of construction engineering. The steel pipe packing rack capable of moving the packing device can move the packing device in order to rapidly pack the steel pipes. The steel pipe packing rack capable of moving the packing device mainly comprises a packing rack body, the packing device, packing belts, a belt clamping buckle and a slide rod, wherein the packing rack body mainly comprises a bottom frame and inclining arms; the packing device mainly comprises a tensioning tool, a curved arm, a clamp A and a clamp B. The main working principle of the steel pipe packing rack capable of moving the packing device is that the packing rack body, the packing device and the slide rod are mounted firstly; the steel pipes are stacked secondly; thirdly, one end of each packing belt is clamped through the clamp B; the packing belts are arranged round the steel pipes, and the other end of each packing belt is inserted into a groove of the tensioning tool; fourthly, a handle of the tensioning tool is rotated to tension the corresponding packing belt; fifthly, the upper and lower overlapped packing belts are buckled through the belt clamping buckle; sixthly, the belt clamping buckle is clamped and deformed through the clamp A; and seventhly, the packing belts are sheared through a cutter rack of the tensioning tool, thus finishing the packing of one station; the packing device slides long the slide rod to repeat the abovementioned work so as to finish the rest packing.