The geometrical quantum discord (GQD) between two atoms in the system of two two- level atoms interacting with few- photon superposition states cavity is studied. The evolution of GQD under different coupling strengthes between atoms is given by the numerical method. The influences of coupling constant between atoms on GQD are discussed. The results show that the evolution regularity of GQD between atoms displays from irregular oscillation to periodicity evolution with the increase of the coupling constant. On the other hand, the peak and average of GQD sometimes increase and sometimes decrease. It shows that there is a nonlinear relationship between GQD and the coupling constant.