Due to their rapid change over time, dynamic textures represent challenging contents for the video compression standards. While several studies proposed different coding techniques, such as synthesis based coding, they mostly lack the perceptual studies on the perceived distortions. In this paper, a framework of perceptually optimized dynamic texture compression is presented. It is based on a psychophysically driven distortion model, which is utilized inside the rate distortion loop of HEVC. The model is tested for three compression levels, and showed a significant rate saving for both training and validation sequences set.