Due to the consideration of economic dispatch or system operation, the regional severe unbalance between power generation and load demand will introduce large amount of power flow over the inter-area tie lines. The tripping of transmission lines due to power system fault contingency will result in the increase of power flow over the inter-area tie lines, which may violate the constraint of transient stability. The whole power system could be collapsed due to further tripping of more generators unless proper remedy actions are executed in tie. This thesis proposes an effective approach to determine the generators to be tripped for power system protection. All of the generators in the power system are divided into critical group and non-critical group based on the methods of Energy-gap and Impedance-gap. The power flow capability limit of transmission lines on inter-areas have been derived by transient stability analysis. Once fault contingency occurs on the power system, the power flow of transmission lines on inter-area is compared to the above transmission limit to determine the generators in the critical group to be tripped. By this way, the stable operation of power system can be maintained after the contingency. To demonstrate the effectiveness of the proposed methodology, the Taipower system is selected for computer simulation to verify the generator tripping by system transient stability analysis. Different scenarios of system fault contingencies on primary EHV substations with various power flow conditions over the inter-area tie lines have been investigated to confirm the power system performance by applying the proposed generator tripping.