The field entropy evolution of two moving atoms interacting with the binomial field in the multiphoton Tavis-Cumming model is studied. Influences of the atomic motion and parameters of the binomial light field on the field entropy are discussed by means of full quantum theory. The results indicate that parameters of the binomial optical field do not influence periodicity of evolution of the field entropy, but it has effect on the value of the filed entropy. With increase of photon number of atomic transition, the periodicity of evolution of the field entropy and the disentanglement were disappearing gradually. The speed of moving atoms affects the periodicity of evolution of field entropy and the value of entropy. But the increase of photon number of atomic transition will weaken the influence of atomic motion on the field entropy. When the field is in the middle states, the speed of atoms is lower and the photon number of atomic transition is larger, the binomial field and the two atoms will be in entangled state for a long time.