As one of the most promising candidates for implementing quantum computers,superconducting qubits (SQs) are adopted for fast generating the Greenberger-Hoe-Zeilinger (GHZ) state by using invariants-based shortcuts.Three SQs are separated and connected by two coplanar waveguide resonators (CPWRs) capacitively.The complicated system is skillfully simplified to a three-state system,and a GHZ state among three SQs is fast generated with a very high fidelity and simple driving pulses.Numerical simulations indicate the scheme is insensitive to parameter deviations.Besides,the robustness of the scheme against decoherence is discussed in detail.