The biggest problem with moss on a patio is that it is unattractive, but the green, slimy stuff can also keep you from enjoying the outdoors in your bare feet. Moss thrives on your patio because it is a shady place with high levels of moisture. Exposing moss to sunlight is one of the best ways to kill it. However, this isn't always possible on a covered patio. The next best step is to physically remove the moss and then make your patio an unsuitable place for it to grow.
Douse the moss with boiling water. This will kill it instantly and make it easier to remove.
Scrape the bulk of the moss off of the patio with the backside of your rake or any other scraping tool that won't scratch the surface of your patio.
Mix a 20 percent household bleach solution in a bucket. Dip a scrub brush into the solution. Then clean one inconspicuous area of the patio floor with the bleach solution. Wait 15 minutes and come back to see if the bleach has caused any discoloration. If not, continue to scrub the mossy area until all traces of the moss are gone. (If discoloration results, switch to a 20 percent vinegar solution). Rinse the area clean with a hose.
Scrub your patio regularly. Moss needs a small amount of dirt or other organic material to adhere itself to. By cleaning this away regularly, you can keep the moss from coming back.