The Selective Tuning Model is a proposal for modelling visual attention in primates and humans. This paper describes ongoing research to include attention to motion stimuli within the model. The effort is unique because it seems that no past model presents a motion hierarchy plus attention to motion. We propose a biologically realistic model of the primate visual motion system attempting to explain how a hierarchical feedforward network consisting of layers representing cortical areas V1, MT, MST, and 7a detects and classifies different kinds of motion patterns. The STM model is then integrated into this hierarchy demonstrating that successfully attending to motion patterns results in localization (segmentation) and labeling of those patterns.