In the study on the limit of resolution for holographic lens, an abnormality is discovered. Fourier transfer is used to analyze the limit of resolution for holographic lenses. The resolution does not follow the rule of inverse ratio with the radius of aperture. When the radius of aperture is relatively large, the resolution fits well with conventional refractive lens. However, when the radius of aperture is relatively small, with the increase of radius, the diffraction spot size increases significantly, and then rapidly decreases to normal level relative to conventional lens after reaching a maximum value.