This paper proposes a novel interval intersection-based protocol for time coordination in wireless sensor and IoT networks. The common notion of time amid the nodes in a distributed environment can be achieved through the message exchange process, which experiences random delay (send, access, propagation, and reception), thus making the time coordination process difficult. Several researchers have proposed algorithms to handle the error in estimation using various methods. This paper analytically analyzes the proposed novel unidirectional interval intersection method for mitigating the uncertainty in the interval width. The offset and slope estimation errors are then reduced under different conditions to verify the effectiveness of the proposed coordination algorithm. The model is simulated under three different delay models: uniform, normal, and truncated exponential. Their performance is then compared in terms of coordination efficiency.