In this Paper, we make progress to many degree based indices like that Randic, Geometric - Arithmetic, Sum-Connectivity, Harmonic, First Zagreb and Second Zagreb, Second Modified Zagreb, Inverse sum, Alberston, Atom - Bond Connectivity, Symmetric Division Index and Augmented Zagreb and also obtained closed forms all the above said indices using M-polynomial of Jahangir graphs Jn,m for all values of n≥2 ,m≥3.Our results are easier to evaluate and simpler than existing results in literature.