A universal framing system is disclosed adapted for use with glazing having substantially any thickness within a wide range of thicknesses. The system comprises an elongate eave member having a top wall, a first flange depending from the top wall and extending longitudinally of the eave member generally adjacent the front of the eave member, and a second flange depending from the top wall and extending longitudinally of the eave member generally parallel to the first flange. The second flange is spaced rearwardly from the first flange whereby the upper edge margin of a sheet of wall glazing may be inserted upwardly between the flanges, the spacing between the flanges being sufficient to accommodate a sheet having substantially any thickness within said range of thickness. A holder on the first flange is provided for holding a first flexible sealing member in position for sealing engagement with the front face of said sheet. The system also includes a unique sill member, side and roof bars, corner bars and various other components which are adapted to accommodate substantially any type and thickness of glazing. A method of using the system is also disclosed.