Conjugate gradient method has played a significant role in solving large scale unconstrained optimization. Numerous survey and modifications have been done recently to improve this method. In this paper, we proposed a new hybrid method of Wei-Yao-Liu (WYL) method and the Abdelrhaman et al (AMRI) method, which possesses the sufficient descent condition under exact line search. The result of the numerical experiments show that the new proposed hybrid method perform better when compared with the WYL and AMRI m