The fossil specimens discussed in this paper were collected from the grayish green mudstone and shale in the upper part of Lower Member of Middle Triassic Tongchuan Formation(T2t) in Shaanxi Province, China. The discovery of the new family and its new genus and species has certain reference values as follows. The results show thatthe new family-Sunopteridae not only is unique and simple, but also can be distinguished from the above mentioned 10 old families,thus providing important taxonomic evidence.