In this paper, we consider a vehicular network and propose the application of directional antennas to a recently proposed information-theoretic location verification system (LVS), aiming at increasing the system capability in correctly detecting malicious nodes. In the proposed LVS with directional antennas (LVS-DA), we adopt a more realistic dual-slope large-scale fading model that is suitable to vehicular networks. The performance of the proposed scheme is evaluated analytically for some specific number of directional antennas and confirmed by numerical results, showing that the proposed LVS-DA scheme is capable of considerably increasing the system capability in detecting malicious nodes when compared with other recently proposed schemes, under different scenarios.