Abstract: Here an analysis is made on the high as well as low frequency torsional oscillations in a visco-elastic fluid. The flow is induced induced by a disk oscillating about an axis normal to its plane. The structure of outer boundary layer has been examined matching inner and outer solutions. Kármán-Pohlhausen method has been used for integrating the equations of motion. An effort has been made to analyse the behaviour of different flow parameters involving in the flow of the visco-elastic fluid.