Vehicle-to-Everything (V2X) technology is increasingly gaining traction worldwide and represents an important step towards improving driving safety by creating real inter-vehicle networks. From a security perspective, V2X technology relies on a Public Key Infrastructure (PKI) and follows currently developed methods, particularly public-key algorithms. The advent of quantum computers threatens existing computer systems, compromising public-key-based systems’ security. This presents a serious problem that V2X must confront immediately. This thesis's main objective is to find a point of convergence between V2X and Post-Quantum Cryptography, which is a solution to counter the potential threats quantum computing poses. To achieve this goal, the work has focused on replacing the current standard algorithms for the message digital signature process, based on elliptic curves, with a Post-Quantum algorithm.