The rear view mirror bracket support incorporates multiple detent positions. The inverted cup-like cover has opposed pairs of grooves inside the side walls of the cover. A moving bracket has one end fixed to the cover and carries the mirror. A molded spring member having arcuate, radially flexible, spring arms engageable with the grooves is connected to a fixed bracket through a retainer. The retainer and the spring have serrations which are engageable to prevent relative rotation between the spring and the retainer when a bolt passing through the cover and the spring member and the retainer is tightened. When the bolt is loosened the spring member can be moved relative to the retainer to set the initial operative detent position. Now the moving bracket can be moved to any one of a number of additional detented positions or can be moved to any intermediate position which will not be detented.