Clean a flat screen monitor by dusting the monitor, using a microfiber cloth, and only using water or water and vinegar as cleaning agents. Before performing any cleaning, ensure that the monitor is powered off and cool to the touch.
Use a can of compressed air, a dusting bulb or a duster to get any dust, hair or other debris off the screen. Once the screen is relatively clear, use a microfiber cloth in a back-and-forth motion with light pressure to clean any smudges on the screen. Fingerprints, sticky residue or other marks that refuse to come off can be removed by dampening the microfiber cloth with a very small amount of water or a half-water and half-vinegar mixture. If any excess moisture is left after cleaning, wipe it off with a dry microfiber cloth immediately.