Insect are the important fauna of ecosystem and provide pollination service for the sexually reproducing plants and help in enhancing crop production for the human beings. Present study was totally concerned on the identification of order of insects by estimating Zagreb index, Harmonic index and inverse index. These indices were first time used to identify insect’s order by the study of wings belonging to different insect species. Wing graph has been first time plotted and applied globally. Wings of Drosophila, Cicada, Apis, Musca species were amputed and permanent slides were prepared. Venation system of different wings was analyzed by using different vertices (cross-over of venation) and edges (part of vein between two vertices). Wing graphs were plotted with the help of wings photos and studied indices were calculated. The value of Zagreb index, Harmonic index and Inverse index were estimated specific for a particular insect order and insects can be differentiated and order of insects can be identified by using these indices this made this study significant for future study.