The relationship of the multi-wavelength color imaging and full spectrum white light imaging versus the scattering medium concentration is studied by utilizing the single-beam correlated imaging technology，and the image restoration of color target objects is realized under the condition of scattering medium in the optical path. Experimental results demonstrate that under the condition of 3000 sampling number the imaging quality decreases with the increase of the scattering medium concentration. When the scattering medium concentration increases to 6%, the visibility of the multi-wavelength color image decreases from 0.21 to 0.061 and the contrast-to-noise ratio decreases accordingly from 1.21 to 0.33. But for the full spectrum white light imaging, the scattering medium concentration has little effect. In the same case, the visibility and CNR are 0.20 and 1.061, respectively. The relationship between the scattering medium concentration and the imaging quality of the color object correlated imaging is discussed in detail, which is crucial to the practicality of the correlated imaging.