One of the computer network systems technologies that are growing rapidly at this time is internet. In building the networks, a routing mechanism is needed to integrate the entire computer with a high degree of flexibility. Routing is a major part in giving a performance to the network. With many existing routing protocols, network administrators need a reference comparison of the performance of each type of the routing protocol. One such routing is Enhanced Interior Gateway Routing Protocol (EIGRP) and Open Shortest Path First (OSPF). This paper only focuses on the performance of both the routing protocol on the network topology hybrid. Network services existing internet access speeds average of 8.0 KB/sec and 2 MB bandwidth. A backbone network is used by two academies, they are Academy of Information Management and Computer (AIMC) and Academy of Secretary and Management (ASM), with 2041 clients and it caused slow internet access. To solve the problems, the analysis and comparison of performance between the Enhanced Interior Gateway Routing Protocol (EIGRP) and Open Shortest Path First (OSPF) will be applied. Simulation software Cisco Packet Tracer 6.0.1 is used to get the value and to verify the results of its use.