Vehicular Ad-hoc Network (VANET) is developed based on mobile ad-hoc networks (MANET).VANET has different characteristics than MANET. On VANET, a mobile node (MN) moves faster, topology changes dynamically. The previous research shows that the model of mobility affects to the network performance. In this paper, a Gauss-Markov mobility model is used to illustrate the motion of the MN. This paper enriches the evaluation of the performance of Gauss-Markov mobility model on LTE-VANET hybrid network, by evaluating various network performance metrics, i.e. packet delivery ratio (PDR), throughput, and delay. This research simulates the Gauss-Markov mobility model with various numbers of nodes and randomness index (α), using Network Simulator-3 (NS-3). The result shows that strong correlation among PDR, throughput, and delay with the addition number of MNs. Based on the simulation result, the hybrid LTE-VANET have smaller 40% average delay than the existing VANET. This simulation also concludes that different value of alpha on Gauss-Markov mobility model does not influence PDR, throughput, and delay.