One of the crucial cyber-attacks which has been reported is hacking the databases of users' identification and passwords. Surprisingly, the typical procedure in most networks is the saving of passwords or password hashes in the look-up tables, which can be accessed later via the identification of each user. This paper seeks to find a remedy to this problem by adding a hardware security layer to the hash function-based password management systems. Also, the hardware security module, which is utilized as a solution in this paper, accelerates the computationally intense cryptographic operations. Addressable PUF Generator (APG) is utilized as a hardware layer. A significant problem with PUFs, i.e., the instability of their responses, is addressed in this paper. Ternary APG is implemented by using the ternary PUFs to solve this problem. The architecture takes advantage of known technology modules such as SRAM PUFs, hash functions, and microcontrollers. Furthermore, the protocol is used as a solution in this paper does not need saving passwords or hash of passwords. To the best of our knowledge, this paper presents the first prototype implementation of ternary APG usage in the password management system.