We　propose　a　protocol　to　implement　controlled-not　(C-NOT)　gates　of　two　superconducting　quantum　interference　device　(SQUID)　qubits　in　a　cavity.　The　Rabi　frequencies　of　driven　pulses　are　designed　by　means　of　the　shortcuts　to　adiabaticity.　The　numerical　simulations　show　that　the　fidelities　of　the　C-NOT　gates　are　insensitive　to　the　deviations　of　control　parameters.　Besides,　the　C-NOT　gates　are　robust　against　the　decoherent　factors,　such　as　spontaneous　emissions　and　dephasings　of　the　SQUID　qubits　and　the　decay　of　the　cavity　mode.　Therefore,　the　protocol　may　be　useful　in　the　fields　of　quantum　computations.