In this book a model of thermally anisotropic two-component plasma has been studied analytically assuming the plasma to be inviscid , homogeneous, collisionless and magnetized. The dispersion relation found is an 8th order polynomial indicating the existence of four incoming and four outgoing wave modes which is the outcome of the two component plasma. The wave mode of the two-component plasma are found to be slower than their single counterpart due to the density d/ce of the two-component.