We discuss several aspects of cosmic censorship hypothesis. There is evidence both in favor and against the hypothesis. On one hand one can prove that cosmic censorship holds in several special cases and on the other hand there is a number of special solutions of Einstein equations in which it is violated. One way to resolve cosmic censorship problem is to test it observationally. We point out to several possibilities of such tests using present and future instruments.

11 pages, PTPTeX, references added, typos corrected, submitted to Proceedings of the Yukawa-Kyoto International Seminar 99