Dry the marble top with a chamois cloth. Buff, it to shine by rubbing the entire surface with the cloth in small circles. Cover the surface with commercial stone polish or marble-polishing paste if you want more shine after buffing with a chamois. If using a spray-on stone polish, wipe with a soft rag.
To give honed marble a deep glow, grind a box of white chalk into a fine powder and sprinkle it over the clean, dry marble then buff it in circles with the chamois. Wipe the chalk powder away with a soft, damp cloth to remove all residue and then wipe it again with a dry cloth to bring out the shine.