Bianchi type-IX cosmological model with variable equation of state (EoS) parameter have been investigated in general scalar-tensor theory of gravitation proposed by Sen and Dunn (J. Math. Phys. 12:578, 1971) when universe is filled with Dark Energy. The field equations have been solved by considering the scale factors in two different forms (i) ()ltretR1= , where r and l are positive constants and (ii) ()()ntR1sinhÎ¾=, where Î¾ and n are positive constants, which render time dependent deceleration parameter. The physical and geometrical properties of the models are also discussed.