In this chapter, the extended different types of conjugate FORM which are formulated with different conjugate scalar factors. Several conjugate FORM formulations are developed as: (1) hybrid conjugate finite-step length method; (2) hybrid self-adaptive directional conjugate method and (3) three-term conjugate gradient method. The parameters applied in computing the line search including (i) step length and (ii) conjugate gradient vectors are discussed through several examples. It is conducted that the methods for conjugate FORMs established based on sufficient descent condition provided the stable results without applying the step size.