A ping pong table top is somewhat of a delicate item to clean, you don't want to subject the game table to harsh chemicals or solvents. They can strip away the paint. Therefore, it's better to use a natural cleanser like vinegar and mix it with water.
Step One - Remove the Net from the Table
Using a screwdriver, disassemble the net from the ping pong table.
Step Two - Mix the Vinegar with the Water
Combine an equal amount of vinegar with an equal amount of water in a utility pail or bucket.
Step Three - Dip the Wash Rag in the Vinegar and Water
Dip a wash rag into the cleaning solution and remove any excess liquid.
Step Four - Clean
Clean off the entire table top, making sure you don't miss any spots. Use a circular motion as you clean. Follow up with a clear water rinse, using the rag and water from the bucket.
Step Five - Clean the Net and Attach It
Combine the vinegar and water once more and place the net into the solution for a quarter of an hour. Remove the net and let it air dry. Once it is dried, affix it back to the table with the screwdriver.