We present a method to synthesize a hologram of real-existing three-dimensional object under incoherent illumination. The proposed method uses an integral imaging camera which has a microlens array on the image sensor plane of usual two-dimensional camera. The three-dimensional object is captured by the integral imaging camera under regular incoherent illumination. The captured image is then processed to generate a number of different orthographic view images of the three-dimensional object. The synthetic aperture technique is also used to reduce the effective f-number of the microlens array. The proposed idea is verified by the experimental result.