Older CRT screens, the kind used in large “tube” monitors and TVs, are glass and can be cleaned in pretty much the same way as you would any other glass in your home or office.
Flat screen and touch displays, however, are much more sensitive and can be easily scratched and damaged during cleaning.
The same applies to your laptop or tablet screen, and often too to the screen on your smartphone or ebook reader.
Note: Plasma TVs are glass, as are many touchscreens, but often also have very sensitive anti-glare coatings applied. I recommend taking the same special care with those types of displays.