The vector ordinal optimization theory is firstly introduced to solve the multi-objective static transmission network planning problem. To maximize the benefits of transmission owners, generators and customers, a multi-objective optimization model considering minimization of expansion of investment costs, generation costs and possible outage costs respectively is built. Then vector ordinal optimzation theory is used to get the good enough solutions. The Garver system simulation results show that the method makes full use of the information from the multiple objectives, overcomes the curse of dimensionality and significantly improves the computational efficiency. The computation time is decreased from 41.7h to 0.26h, reducing about 99.4%.