A high-efficiency L-MILO is designed based on advantageous mechanisms of both hard-tube MILO and tapered MILO by 2D particle-in-cell(PIC) electromagnetic code . The high-efficiency L-MILO has high efficiency and is easy to work up. The design is optimized under rectangular voltages and pulse voltages with long rising time respectively. Each optimal model outputs microwave signal with power averaged in a period above 5 GW and efficiency above 20% in L-band when the peak of input voltage is between 500~600 kV. Possible problem in the future experiment and the corresponding resolution are discussed.