Seal off the area that contains the ceiling tiles. Tape plastic sheeting across doors, air vents and windows. Turn off forced-air systems.
Wear protective garments and eyewear. Wear a respirator mask fitted with cartridges that filter fine asbestos particles; cloth or paper masks do not provide enough protection against these fine particles.
Wet down the tiles, using a spray bottle or large sprayer filled with water. The wetting process minimizes asbestos dust. Avoid breaking down the tiles into smaller pieces to prevent fibers and dust from becoming airborne and increasing health risks.
Place the tiles inside heavy, leakproof, resealable plastic bags. Place the bags inside a large cardboard box or container to prevent bag breakage and so you can easily transport the bags.
Vacuum the removal area with a machine outfitted with a HEPA filter. Remove the vacuum bag and put it in one of the plastic bags. Place it with the other bags for disposal.
Mop or sponge down the area with water and a cleaning solution. Place the mop head and sponges in another leakproof and sealable plastic bag, along with your protective clothing. Add that bag to the others waiting for disposal.
Take a shower and wash your clothes.
Take the asbestos tiles to the appropriate hazardous materials disposal site approved by your municipality.