FIG. 1 is a perspective view of the bicycle rack holder for vertical bicycle rack of the present invention; FIG. 2 is a front elevational view thereof; FIG. 3 is a right side elevational view, the left side elevational view being a mirror image thereof; FIG. 4 is a rear elevational view thereof; FIG. 5 is a top plan view thereof; and, FIG. 6 is a bottom plan view thereof.