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The phenomenon of crack branching is one of the typical fracture behaviors. The effect of orientation crack branching is investigated in this paper. By considering a static branched crack in a 2D plate under uniaxial traction, the numerical study is carried out for two study cases. The first study case is a symmetric crack branching in which the various crack branching lengths and orientations have same value between both cracks branching. The second case is an asymmetric case crack branching. In this case, both crack branching length has constant certain value. Furthermore, the first orientation of crack branching is constant and then the second one has various values. The stress intensity factors of the crack tips are calculated for both study cases. It is revealed that for the symmetric case, the increasing of the crack branching length will increase the value of stress intensity factor for various orientations of crack branching. Whereas, the stress intensity factor will tend to decrease along with the increasing of the crack branching orientation. In the asymmetric case, the stress intensity factor of first crack branching will increase, but the stress intensity factor of second crack branching will decrease along with increasing of the second orientation crack branching.