In network world, due to shortage of IP addresses in version 4, a new version of IP address, namely IPv6, has come into play, but due to non-exchange ability between IPv4 and IPv6, different routing protocol is come to play for IPv6 that is RIPng, OSPFv3 and EIGRP for IPv6 in the place of RIP, OSPFv2 and EIGRP in IPv4 environment. Transmission of data is based on the routing protocol which selects the best routes in network world. Two types of interior routing protocol which selects the best routes in network world that is distance vector and link state. In this research we compare two types of routing protocol are chosen as the simulation base that is OSPFv3 (Link state) and EIGRP IPv6 (Distance Vector) in terms of convergence and router CPU usage. These routing protocols are mostly used in network as well as internet. In this project, we are going to use GNS3 to simulate and compare OSPF and EIGRPv6 with authentication and without authentication in large hierarchical network using ipv4 and ipv6 environment. On top of everything, as a second step GNS3 simulator installed. Familiarity with GNS3 is essential to achieve this research study. As a second step, a certain hierarchical routing scheme scenarios will be created. Secondly, OSPFv3 and EIGRP IPv6 without authentication implemented and configured to get the required results in terms of CPU processing power and convergence time. Later, OSPFv3 and EIGRP IPv6 with authentication implemented and configured to get results for a comparison in terms of resources usage and convergence. As a final stage overall results of the research study compared to analyze the research parameters which are with and without authentication on both routing protocols. At the end of this research study, the result is drawn and presented in the thesis and a final comparative analysis presented in tabular format. In this Research study compare two parameters, CPU utilization and Processing power with and without authentication. We found that OSPFv3 uses less power as compared to EIGRP for IPv6 without authentication in hierarchal environment, but it takes more time to converge and with authentication it is also found that it ospfv3 uses less power as compared to EIGRP for IPv6 while EIGPR for IPv6 is faster than OSPFv3.