Is 'lie' is a common noun?

Yes, the noun 'lie' is a common noun, a general Word for a falsehood or the way, direction, or position in which something lies.

A proper noun is the name of a specific person, place, thing, or a title; for example Lie Field Close, Braintree, Essex UK (a street), or "Once Upon a Lie", a novel by Maggie Barbieri.