Orthogonal Frequency Division Multiplexing (OFDM) technology has been utilized in radar imaging to obtain high-resolution range profiles without inter-range cell interference. In this study, we establish a novel algorithm for Inverse Synthetic Aperture Radar (ISAR) imaging of a non-cooperative target using OFDM waveforms. We also achieve motion compensation and image enhancement with sparse reconstruction optimization. Utilizing sparse reconstruction optimization, we can simultaneously achieve high-precision OFDM-ISAR imaging and also correct phase errors. Extensive experimentation confirms that the proposed method can effectively overcome range interference and phase errors in OFDM-ISAR imaging, providing optimal robustness and precision.