The collective motion of rounded squares with different coer-roundnessζ is studied by molecular dynamics (MD) simulation in this work. Three types of translational collective motion patte are observed, including gliding, hopping and a mixture of gliding and hopping. Quantitatively, the dynamics of each observed ordered phase is characterized by both mean square displacement and van Hove functions for both translation and rotation. The effect of coer-roundness on the dynamics is further studied by comparing the dynamics of the rhombic crystal phases formed by different coer-rounded particles at a same surface fraction. The results show that asζ increases from 0.286 to 0.667, the translational collective motion of particles changes from a gliding-dominant patte to a hopping-dominant patte, whereas the rotational motion patte is hopping-like and does not change in its type, but the rotational hopping becomes much more frequent as ζincreases (i.e., as particles become more rounded). A simple geometrical model is proposed to explain the trend of gliding motion observed in MD simulations.