The need for low‐latency service support at the network edge has increased due to new applications such as autonomous vehicles, facial recognition, and augmented reality. Multi‐access edge computing (MEC) has emerged as a promising component of next‐generation 5G and 6G networks that provides additional storage and computing capacity at the network edge to enhance application performance, load balancing, and reduce latency. Security challenges remain, and a zero trust security framework has the potential to reduce risk and improve visibility. A zero trust management module is introduced to authenticate users after a successful registration. This article presents a three‐layer MEC model implementing a trust‐aware load balancing decision process. A Q‐learning algorithm is used to estimate trust values. Task trust and indirect trust relationships are recorded using blockchain technology. Blockchain will enable a transparent and secure mechanism that contributes to secure resource management in an MEC environment. The results provided by a framework simulation highlight the improved security outcome.