The invention relates to a vertical shaft hanging scaffold stabilizing device, belonging to a pit shaft construction hanging scaffold of a vertical shaft. The scaffold stabilizing device comprises a base plate, support seats, a connecting rod, an adjuster and a rubber wheel. The base plate is provided with two support seats, wherein one support seat is connected with the connecting rod, the adjuster is arranged between the connecting rod and the other support seat, and the connecting rod is connected with the rubber wheel. An upper-layer scaffold and a lower-layer scaffold of the hanging scaffold are respectively provided with four scaffold stabilizing devices. When in work, the solid rubber wheel and the scaffold stabilizing devices tightly support the shaft wall, so the hanging scaffoldcannot shake in the annular space. The vertical shaft hanging scaffold stabilizing device has the advantages that: firstly, the device can be repeatedly used has simples processing and convenient installation and use, saves processing materials and the capital and is free from manual operation and control on the hanging scaffold when the hanging scaffold is lifted; secondly, the device can not only stabilize the hanging scaffold, but also can be used for adjusting the gap between a hanging bucket and a horn so as to ensure that the hanging bucket has enough safe distance in the running process; and thirdly, the device creates the conditions for quick construction of the vertical shaft, saves labor force and physical resource, is safe and reliable and shortens the circulation time.