In the recent paper Iram Tahleel Jaleel Ahmed, Suryakant M Jogdand , introduced the graphical structure of vector space over a finite field  called as “Bases Intersection Graph” and discussed some basic properties of it. In the present paper, we continue the study of bases intersection graph IB (V) over a finite field  regarding some important properties. It is shown that the graph is regular graph, Eulerian graph etc. Further it is shown that graph is never bipartite. In the last, some properties of 2 dimensional vector space over a field of 3 elements were discussed.