By numerical calculation, the quantum correlation dynamics of two moving atoms was investigated in Tavis-Cummings model in which the two moving atoms interact with the particle field. The effects of the initial entanglement of the two atoms and the number of photon in the particle field and atomic movement on entanglement and quantum discord were analyzed. The results show that initial entanglement is different, and the time evolution of atoms’ quantum entanglement and quantum discord is different. With the increase of the number of photon, phenomenon of sudden death and birth of quantum entanglement between two atoms occurs, while quantum discord keeps nonzero and the time evolution of quantum entanglement and quantum discord becomes faster. Atomic movement can make quantum entanglement and quantum discord has a periodic evolution. The increase of the field model structure parameter can make the period of quantum entanglement and quantum discord be shorter. It is found that quantum entanglement and quantum discord are similar in evolution.