In this letter, we propose a methodology for designing high efficiency broadband harmonic-controlled power amplifiers (PAs) with a novel harmonic matching network. This network consists of three second-harmonic open circuit microwave lines and three third-harmonic short circuit microwave lines, each corresponding to different wavelengths for different frequencies. It can improve the efficiency and bandwidth of PAs by controlling harmonic match impedance. Through the proposed network, we design and fabricate a highly efficient broadband continuous Class-F PA using a CGH40010F GaN HEMT device. The measurement results show that the drain efficiency of 71.4% to 82.4% (the average efficiency of 76.9%) and output power of 40.4dBm to 42.6dBm are achieved at 1.3GHz-2.5GHz, respectively.