Moss can add to the style and character of a home's landscaping or exterior walls, but the one place you don't want it is on a hard walking surface. If you have moss growing on your patio, even if it is brick, you should remove it for safety reasons. Moss can become slippery when wet, which could cause someone to fall and get hurt. Removing it, however, is not always easy, especially if the surface is textured like brick.
Use a hose with a pressure nozzle to wash off as much moss as possible.
Use a bristle brush to scrub and loosen moss. Then reuse the hose to wash it away.
Mix a 1 to 10 ratio of bleach and water. Test it in an area that cannot be seen to ensure that it doesn't discolor the brick. Wait a week to see if there is any change. If it doesn't harm the brick, proceed.
Pour the bleach mixture into a spray bottle, and spray it on moss that hasn't come off with the other methods. Scrub with a brush to work it into the pores. Allow it to sit and soak, then rinse off.