In this paper we consider the finite time synchronization problem for networked Kuramoto oscillators. We propose two types of synchronization protocols, both of which involve continuous phase couplings. Based on the finite time Lyapunov theory, we prove that if initial phases of all oscillators are located in a semi-circle, then their phases will reach synchronization within a finite time. The upper bounds of the finite settling time for both synchronization protocols are also derived. We then extend the results to the case of Kuramoto oscillators with identical natural frequency. Several simulations are presented to demonstrate the performance of the proposed finite time phase-coupling controllers.