Abstract-This paper endeavors to present a novel framework for the generic structure of a verifier-based password authenticated Three-Party Encrypted Key Exchange (3P-EKE) protocol which yields more efficient protocol than the ones knew before. A previous framework presented by Archana and Premchand is more secured against all types of attacks like password guessing, replay, pre-play, man-in-the-middle attack etc. But unfortunately, this protocol does not solve the problem of a server compromise. These proofs help as inspiration to search for another framework. The framework we offer produces more efficient 3P-EKE protocol, and, in addition, delivers perceptive clarification about the existing attacks that do not solve in the previous framework. Moreover, it allows direct change from a class of verge private-key encryption to a hybrid (symmetric & Asymmetric) one without significant overhead.