The nonlinear high frequency combustion instability process in the liquid rocket engine is simulated with the method of nonlinear dynamics. The gas controlling Navier-Stokes equations are described under the Euler coordinate. The liquid phase controlling equations are described under the Lagrangian coordinate. The two-phase interactions of the gas and liquid are coupled through the sources of equations. The spray process in the rocket engine is described with the theory of high pressure evaporation. The two phase turbulent combustion steady process and high combustion instability in the liquid rocket engine are simulated with the method of computational combustion dynamics. The conclusion is drawn that the high frequency combustion instability in the liquid rocket engine is similar to the strange attractor which looks like Lorenz attractor.