Using the mutually coherent function, the self-trapping of the circle partially coherent optical beam in the total internal reflective photonic crystal fiber(TIRPCF) under Compton scattering is studied.The study shows that the composition of the non-coherent optical beam in the optical spectrum and the diffraction effect are decreased by Compton scattering,and the probability of forming the soliton is greatly increased.The vibration peak value in the propagation,compressed degree,changed cycle,and radius of the soliton are all smaller than those before the scattering,but its coherent radius is larger than that before the scattering.In this propagation,the self-focusing plays a key role.