Internet of Things security has been the most challenging part of the domain. Combining strong cryptography, lifelong security with highly constrained devices under conditions of limited energy consumption and no maintenance time makes it extremely difficult task. In this paper it has been presented approach that combines authentication and bootstrapping protocol (TEPANOM) with authentication framework optimized for the IEEE 802.15.4 networks (EAP with SEAPOL adaptation layer) to achieve significant network resource usage reduction. The EAP-TEPANOM solution has achieved substantial 42% reduction in the number of transferred packets and 35% reduction of the transferred data. This results have placed as one of the most lightweight EAP methods that has been tested in this research.