Living in an apartment has its advantages, but if you have a neighbor who has heavy steps, likes to watch TV or listen to music at high volume, you may be annoyed with all the noise. And this may be particularly troublesome if you are sensitive to sounds and trying to get some sleep. You may have to find a way to stop that noise. Since telling your neighbors to keep it quiet is not really an option, you will have to do something to soundproof your ceiling.
If you soundproof your floors and walls only, you won't have all the peace and quiet. You have to soundproof your ceiling in order to prevent all the noises from bothering you. A good way to do this is to use fiberglass and put it above your ceiling panels. If that is not an option, you may choose to go with acoustic membrane. These can be glued to your wall and caulked together, providing you with a good sound barrier. Another choice to take is sound proof paint. You can easily buy it at a local store and use a roller to paint the entire ceiling. Some statistics say that you can block up to 30% of sound vibrations with this latex paint.