This document proposes a new password authentication system that uses encrypted negative passwords (ENPs) for secure password storage and authentication. It involves hashing the password, converting it to a negative value, and encrypting it using strong algorithms like PBKDF2 and Blowfish. This makes the passwords more secure against attacks like dictionary attacks and lookup table attacks compared to existing systems. The proposed system includes a registration phase where the password is processed to generate the ENP, and an authentication phase where the ENP is validated upon login. Advantages of the system include stronger security, resistance to various attacks, and easy integration with existing authentication systems.