In this paper, we measured and modeled chromatic spatio-velocity contrast sensitivity functions (chromatic SV-CSFs). In addition, we applied our chromatic SV-CSF model to video quality evaluation. SV-CSF is a modulation transfer function of the human visual system, and consists of the relationship among contrast sensitivities, spatial frequencies and velocities of perceived stimuli. In our experiments, chromatic spatio-velocity contrast sensitivities (SV-CSs) were measured by using red-green and blue-yellow moving Gabor stimuli. From the results of chromatic SVCSs measurements, it was shown that the chromatic SV-CSs had low-pass spatial frequency characteristics. In particular, the contrast sensitivities in the spatial frequencies over one cycle-per-degree decreased gradually as the velocities of the stimuli increased. From these results, we modeled the chromatic SV-CSFs based on Gaussian functions combined in spatial frequency and velocity domains. Furthermore, for evaluating color video quality, we applied our chromatic SV-CSF model to SV-CIELAB which is the video quality evaluation method using SV-CSF models. From the subjective experimental results for the validation, it was shown that SV-CIELAB using chromatic SV-CSF models is comparable to or better than conventional methods such as CIELAB color difference, Spatial-CIELAB and so on.