Nature of Singularities in Gravitational Collapse

We discuss several aspects of cosmic censorship hypothesis. There is evidence both in favor of and against the hypothesis. On one hand one can prove that cosmic censorship holds in several special cases and on the other hand there are 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 several possibilities of such tests using present and future instruments.