A double-shaft hinge with a stable structure includes a first rotating shaft, a second rotating shaft, a carrier frame and a switching sheet. The first rotating shaft is provided with a first cam; the second rotating shaft is parallel to the first rotating shaft and is provided with a second cam; the carrier frame is formed with a limiting passage and two shaft installation holes for the first rotating shaft and the second rotating shaft to pass through respectively; the switching sheet is arranged on the carrier frame and limited by the limiting passage and only makes a linear movement along a surface of the carrier frame. The switching sheet has a first state of being pushed by the first cam to limit the rotation of the second rotating shaft, and a second state of being pushed by the second cam to limit the rotation of the first rotating shaft.