Liquid crystal is the fourth state of matter that lying between the crystalline solid and amorphous liquid states. It exhibits the properties of liquids as well as that of crystalline solid state. In this book we have considered an infinite static layer of cholesteric liquid crystal lying between two infinite hot co-axial circular cylinders in the presence of azimuthal magnetic field. During the process both the cylinders are held at different temperatures and are lying at rest. In this study we have examined the thermo-magnetic effects. After obtaining the system of governing differential equations we have solved these equations numerically by Newton Raphson method. The results revealed that orientation of molecules vary with the variation of magnetic field and temperature gradient parameters. The content of this book is applicable to applied scientific fields, industries and the researchers, working in the field of thermo-magnetic effects on cholesteric liquid crystal.