The invention discloses a composite speed-increasing screw drilling tool with 
axial vibration and circumferential vibration functions. The composite speed-increasing screw drilling tool includes an 
upper joint, an anti-drop rod, a motor, a cardan shaft, a transmission shaft, bearings, a disc spring, an upper vibrating block, roll balls, a lower vibrating block, an anti-drop cap, a transmission joint, a lock nut, a 
circlip, a liquid dispensing sleeve, a drainage tray and a 
pendulum bob; the anti-drop rod is disposed inside the 
upper joint, and a rotor of the motor is arranged below the anti-drop rod; the cardan shaft is arranged below the rotor, and the transmission shaft below the cardan shaft is composed of an upper transmission shaft and a lower transmission shaft; the bearings are arranged at the outer side of the upper transmission shaft, and the disc spring, the upper vibrating block, the roll balls, the lower vibrating block, the anti-drop cap, the transmission joint, the lock nut and the 
circlip are arranged at the outer side of the lower transmission shaft; and the liquid dispensing sleeve, the drainage tray and the 
pendulum bob are sequentially arranged at the outer side of the transmission joint from top to bottom. According to the composite speed-increasing screw drilling tool with the 
axial vibration and circumferential vibration functions, not only are the basic torque and speed provided for a 
drill bit, but also the 
impact vibration energy is added, so that the 
rock breaking efficiency and the 
rate of penetration are improved, the drilling cycle is shortened,and the drilling cost is reduced.