A reconstruction method of axially moving lenslet array (AMLA) was proposed. First, the dot-pattern reconstructed image was generated from a set of AMLA-recorded EIs using pixel-to-pixel mapping. Then, the empty pixels of dot-pattern reconstructed image can be filled by the average of the intensity values of all pixels that are corresponding to the empty pixels in each EI and determined through back projection. Using this proposed method, not only can the empty pixels be eliminated, but also the image quality is higher than conventional interpolation. Moreover, the axially moving gap can also be arbitrary, which breaks the limitation of the strict interpolation-free condition of the conventional reconstruction method. The feasibility of this method was verified by simulations and optical experiments.