Tabanids (Diptera: Tabanidae) is one of the most serious pest insect group against both humans and livestock. Tabanids' effects to livestock are transmission of some serious diseases such as bovine leukemia, surra and equine infectious anemia, irritation breeding daily gain and milk secretion loss. Tabanids also transmit Loa loa (Cobbold) to humans. Source control by chemical and mechanical methods has no effect due to the larvae of tabanids living under the soil sparsely. At the present, only trapping of adults is effective for controlling tabanids. Traps for capturing tabanids have been developed in two different ways. Some tabanid traps are diverted from tsetse fly traps in Africa such as Nzi trap, and others are developed for exclusive use in North America, Europe and Japan. The early traps attracted tabanids by their shapes and the visual and olfactory factors as attractant were added to the later traps to capture more flies. I reviewed the history of development on traps for capturing tabanids, visual and olfactory attractants for capturing tabanids and next generations of traps for capturing tabanids in this paper.