I have had glass table tops and glass windows scratch over the years and have found a few ways of removing most of the scratches. There are compounds you can purchase for this and there are some home remedies that may work for you.

Professional glass repair people and others often use Janvil's Cerium Oxide, an electric drill or similar tool and a buffing wheel attachment that has firm felt covering it sold specifically for glass scratch removal. You apply the Cerium Oxide and buff it with the tool. It may take over an hour to work, depending on how deep the scratches are. Look for auto glass wholesale dealers on the Internet or in the Yellow Pages. Other businesses that use this compound are jewelers and businesses that polish and sell gemstones. In addition, J.C. Whitney auto parts catalogue often carries a similar scratch fixit kit.

Toothpaste (non-gel kinds) used as a polishing compound will sometimes remove small scratches from glass table tops.

Brasso Metal Polish or other types of metal polishes will also sometimes be effective. Jewelers rouge also works, but it more expensive.

Another compound: Mix 1 part dry mustard and 1 part white vinegar into a paste-like substance. Apply this paste onto the scratches and polish the surface with a soft cloth. Dry mustard may damage the cornea of the eye, so be careful with it.

Three are some additional products listed belwo that you may want to try as well.