Bianchi Type II stifffluid model in presence of bulk viscosity in General Relativity is investigated to get the deterministic model of the universe, we have usedthe stifffluid condition (p1), p the matter density, p the isotropic pressure, (0 = constant, ( is the coefficient of bulk viscosity 0 the expansion in the model and o is proportion to 0 which leads to R: Sn where R and S are metric potentials and n is a constant. We furd that reality condition p > 0 is satisfied and the bulk viscosity prevent the matter density to vanish. The model starts with a big bang and the expansion in the model decreases as time increases. The model represents the accelerating and decelerating phases of the universe which matches with latest astronomical observation. The model in general represents anisotropic phase of universe.