If you can "prove" he was lying, you don't need to sue him; just file your underlying case, and if he testifies against your interests, prove he was lying and you win your case, no? Good luck.
The author of this post is licensed to practice law in the District of Columbia, Maryland, and Virginia. This post is intended as general information only, and is not provided as legal advice in connection with any specific case, and does not create an attorney-client relationship.
There's really not enough information here to allow a sound answer to your question. The right to sue someone generally arises when they've breached a legal duty owed to you. Your question does not detail how you were harmed, if you were harmed, or how someone else may have owed you a duty and then failed to live up to it. Certainly, anyone who provides false information to the police is exposing themselves to criminal charges related to obstruction. If you are certain that this has occurred and have proof on which law enforcement officers can act, you may want to consider bringing it to the attention of the appropriate authorities. If you do not have anything more than a hunch, I'd advise you to be cautious about what you choose to do with that hunch.