Clean the glass surface thoroughly by wiping it with glass cleaner and a clean, lint free towel. Let the surface dry completely.
Remove the glass portion of the furniture, if possible. Lay it on a flat surface to lessen the risk of cracking the glass.
Polish the scratched glass surface with a lamb's wool polishing pad and cerium oxide. Do not put heavy pressure on the glass surface as this may cause the glass to crack. Use an electric buffer for areas that are easy to reach; otherwise buff by hand. Only buff the scratch and not the entire glass surface.
Mix 2 cups water with 1/2 ounce of liquid ammonia in a spray bottle. Spray the area that was buffed and wipe with a clean paper towel to remove buffing dust.
Repeat Steps 3 and 4 if the scratch is not minimized in appearance. Deep scratches may not disappear completely.