It is known that the cooling performance can be improved about 5~12% and the COP (Coefficient of Performance) can be improved about 10~15% when the IHX (Internal Heat Exchanger) was applied in a vehicle. Thus, the aim of this study was to observe the influence of the fins shape on the turbulence flow and turbulence kinetic energy gradient in IHX. All the applied parameters of the fin such as rotation angle, spacing ratio, height ratio and mass flow rate are changed. The governing equations for the flow motion simulation were applied to continuity equation and Navier-Stokes equation, and the turbulence model was applied by the Shear Stress Transport(SST) model, which has the advantage of turbulence simulation. As the rotation angles of the front and back fins were increased, the difference in the maximum turbulent kinetic energy gradient between fins was reduced. As the inlet flow mass increased, the turbulent kinetic energy difference between front and back fins were increased. The turbulence area tended to increase with increasing fin height ratio.