An interesting paper published by ELK Asia Pacific Journals. Different failure theories are used to assess failure analysis of composite materials as Failure criteria is important step of failure analysis. As composites material are orthotropic or anisotropic by nature so shows complex failure .There are many modes of failure such as basically fibre failure, matrix failure, inter fibre failure crack propagation, delaminations. In this paper we compare five theory such as Tsai , Puck, Rotem, Zinoviev and Edge there failure mode and approach used.In this we reviewed paper of WWFE by Hinton in 2002 for comparing the theories. This paper aims to solve basic problem associated with use of failure criterion for composite material.