In order to obtain the near-field phase distribution by using the far field intensity information, a multi-frame algorithm is proposed. It is a phase-retrieval algorithm which carries out the original Gerchberg-Saxton (G-S) algorithm by using more than one far field, and the new far fields are generated by adding prescient aberrations to the unknown phase. A novel method to achieve the multi-frame G-S algorithm by using the deformable mirror (DM) is proposed, and its feasibility is certified by numerical simulations and experiments. The simulated results further imply that the multi-frame G-S algorithm is capable of recovering the atomspheric aberrations within 50 iteration loops, on condition that 4 DM surfaces are utilized to build the new far fields, and the root mean square average of residual errors between recovered phases and true phases is less than 0.005 λ, with λ as the light wavelength.