A group key agreement protocol allows a set of users, communicating over a public network, to agree on a private session key. Most group key agreement protocols make use of modular exponential operations which require extensive computing resources in devices. Thus, they are unsuitable for resource-constrained devices such as mobile phones, smart cards and intelligent watches. In this article, we proposed new authenticated group key agreement protocol based on non-commutative near-ring. We prove that our protocol meets the security attributes under the assumption that the twisted conjugacy near-ring root extraction problem is hard in near-ring. © 2018 American Scientific Publishers. All rights reserved.