Abstract: in this article, jet flow from the nozzle exit was considered and calculated numerically in transient two-phase flow and two-dimensional axsymmetric turbulent condition using volume of fluid method (VOF). The hydrodynamical instability for jet flow was analyzed and the breakup length was calculated, the nozzle diameter of 0.11875mm, 0.2375mm and 0.475 mm, the center line velocity of the fluid in the 15.416 m/s and 7.708 m/s and the fluid inside the nozzle used for the calculation are water and gas oil. Fluent 6.3.26 was used for two-phase flow analysis. The results obtained from the present numerical simulation compared with the experimental results of the previous researches, good agreement was obtained. It was concluded that the breakup length decreases as the relative velocity between the phases increase or the liquid density decreases. The nozzle diameter is an important parameter which effect of the nozzle outlet regime and the breakup length.