The exciton dynamics in a ring-shaped aggregate complex model induced by circular-polarized laser field has been investigated using the quantum master equation (QME) approach. We observe the recurrence motion of exiton after the irradiation of a circular-polarized laser field. It is found that the circular-polarized laser field makes it possible to shift the oscillation phase of the exciton recurrence and thus to cause the out-of-phase recurrence motion, while such unique recurrence dynamics disappears in the case of the irradiation of the linear-polarized laser field. It also turns out that the direction of phase-shift in exciton recurrence oscillation can be controlled by the rotation direction of the circular-polarized laser field.