Aiming at harmonic current influence on transmission characteristics in a magnetically coupled resonance wireless power transfer (MCR-WPT) system with a series-parallel (SP) structure, this paper develops a transmission characteristics expression method and a WPT system with a power factor correction (PFC) structure. Using the mutual inductance theory with harmonic current influence, the equivalent circuit model of the system was established and the formula for the transmission characteristics was obtained. An input current harmonic suppression method was developed, and a dual-boost PFC structure was designed on the transmitter side of the system to reduce the influence of the input current harmonic. According to the determined parameters, simulation analysis on transmission characteristics comparison between different systems was conducted. The experiment platform was built. The results of load experiment, frequency experiment and waveform analysis experiment show that the harmonic suppression and transmission characteristics were improved.