This paper proposes a robust transient stability constrained optimal power flow (OPF) problem that addresses the impact of renewable uncertainties by the coordination of power flow router (PFR) tuning and generation re-dispatch. PFR refers to a general type of network-side controller that enlarges the feasible region of OPF problem. The coordination between network-side and generator-side control in the proposed model is more general than the traditional methods which focus on generation dispatch only. Applying semidefinite programming (SDP) relaxation and scenario approach allows us to simplify the original robust optimization problem into a scenario-based SDP problem. Then, an offline–online solution framework is developed to solve the problem efficiently. Under this framework, the time-consuming transient stability analysis and scenario reduction are carried out at the offline stage. At the online stage, we only need to solve a lower-dimensional deterministic problem based on the information obtained offline, which achieves fast implementation of PFR parameter tuning and generation re-dispatch. The proposed method is verified on a modified New England 39-bus system. Numerical results demonstrate that the proposed method is efficient and achieves lower generation cost without compromising the robustness of transient stability under renewable uncertainties. • A robust TSC-OPF is proposed with power flow routers and renewable uncertainties • The model introduces a coordination of network control and node power control • An offline–online solution framework is designed to efficiently solve the problem • The model achieves lower cost without compromising the stability robustness