FIG. 1 is a front, top, right perspective view of a RV grill mount according to the invention; FIG. 2 is a front elevation view of a RV grill mount according to the invention thereof; FIG. 3 is a rear elevation view thereof; FIG. 4 is a left side elevational view thereof; FIG. 5 is an top plan view thereof; FIG. 6 is an bottom plan view thereof; and, FIG. 7 is a top, rear, left perspective view thereof.