Cell migrations play a vital role in many physiological motility processes including embryogenesis, wound-healing, immune defense and cancer metastasis. Although much effort has been directed towards motility of individual cells, the mechanisms underpinning collective cell migration remain poorly understood. Here a cell mechanics model incorporated persistent force depending on the memory effect on the past orientation of motion is developed to elucidate the coherent rotation motion of monolayer cells in the absence of external signals. This physical model is able to explain how the cell rotation is coordinated in the systems ranging from several cells to multi-cellular assemblies. We show that the competition between the active persistent and random forces is responsible for the robust rotation motion, where the passive coupling forces between cells is also necessary. It is found that the angular motion mode depends on the geometrical shape of the underlying substrate.