This paper deals with the influence of Hall and ION SLIP effects on the magneto-hydrodynamic flow of a micropolar fluid past a non-conducting wedge. The analysis has been made by assuming that the fluid is viscous, incompressible and electrically conducting. The partial differential equatIONs governing the flow and heat transfer are converted into highly non-linear ordinary differential equatIONs by using the similarity transformatIONs. These equatIONs are then solved numerically. The effects of various parameters involved in the problem have been studied with the help of graphs and numerical values of skin frictION coefficients and Nusselt number are presented in tabular form. Favorable comparison with previously published work on various special cases of the problem has been made. Results show that the local skin frictION coefficient due to translatIONal motION increases with the angle of the wedge and Hall effect parameter, hence heat transfer rate increases with these parameters. The result gets reversed with a increase in material, ION SLIP and magnetic field parameters.