An adjustable hinge has a doorframe mount, a body, a spindle, a door bracket, at least one positioning device and an adjusting assembly. The body is securely attached to the doorframe mount. The spindle is mounted in the body and has an exterior surface with a middle portion. The door bracket is pivotally connected to the body with the spindle to attach to the glass panel of the glass door. The at least one positioning device is mounted between the door bracket and the spindle to position the glass panel in a specific position. The adjusting assembly is mounted between the body and the spindle and has a holding device and an adjusting device. The holding device is mounted on the middle portion of the spindle. The adjusting device is mounted in the body and fits with the holding device on the spindle.