Veneer plaster is a thin sheet of plaster applied over another surface, usually drywall or plywood. Screwing into veneer plaster without chipping or cracking it requires a bit of thinking and planning. You need to know that once you put the screw in place, it’s probably not going to be removed, so be sure of your placement before you begin. Make sure you’re using the proper wall anchor for the weight of the item you want to hang. Take the time to do it properly and you’ll be pleased with the results.
Hold the item you want to hang to the wall and use a level to determine its placement. Make sure it's in the proper place by measuring to center and marking the location of the screw with a pencil.
Place a piece of low-tack painter's tape over the veneer plaster before you drill. This helps prevent the cracking and chipping of the plaster.
Drill a pilot hole with a small drill bit. Take care to hold the drill straight and not angle it at all. Remove the tape.
Insert the wall anchor and lightly tap it into the hole with a rubber mallet. Don't use a hammer for this as any accidental hits with the hammer may damage the veneer plaster.
Put the screw that goes with the wall anchor you've chosen into the anchor opening and screw it into position. Make sure enough of the screw remains exposed to catch the picture wire or to slip through the key-hole opening on the back of the item you want to hang.