The invention relates to method of supporting a unloading conveyor bridge extending substantially horizontally at the bottom level of a bulk material pile storage, implemented as supports in the area of the bridge ends as well as in at least one point therebetween. At least one of the supports is positionally adjusted in the vertical direction. The support force is thereby kept substantially constant at the actual support point. For the adjustment can be used spring loading, fluid pressure loading or gravity loading, for example.