Tone-mapping operators are designed to apply high dynamic range (HDR) images on widely-used low dynamic range (LDR) devices. Developing well-performed tone-mapped image quality assessment (IQA) method is highly desired because traditional IQA method cannot be adopted in cross dynamic range quality measuring. To this end, we proposed a quality assessment method based on image exposure property. Specifically, an image exposure property determination model is utilized to segment HDR image into different exposure region. Then, quality features are extracted according to the distortion characteristics of each exposure region. Finally, the quality of tone-mapped image can be acquired by a trained regression model. Validation experiments on public database show that the proposed method can accurately predict the quality of tone-mapped image.