A hinge with variable torque is disclosed to include a first part, which has a shaft at one side thereof and recessed portions on the peripheral wall of the shaft, and a second part, which has a sleeve disposed at one side thereof and grooves on the inside wall of the sleeve. The sleeve is pivotally coupled to the shaft of the first part. A first contact area and a first friction force are produced between the peripheral wall of the shaft and the inside wall of the sleeve when the first part is turned to a first angle relative to the second part, and a second contact area and a second friction force are produced between thereinbetween when the first part is turned to a second angle relative to the second part.