In order to solve the problem that the plane-array detectors have small size of target surface, low resolution and difficult to make in certain wavelengths, a digital holographic imaging method with single pixel bucket detector is proposed. In this scheme, an optically addressed spatial light modulator (OASLM) works as a conversion device between the digital holography system and computational ghost imaging system. The hologram of object to be imaged is used as the writing light and written directly into the OASLM. The written hologram is readout and retrieved by using computational ghost imaging procedure, in which an electrically addressed spatial light modulator is utilized to produce a sequence of updateable, computer-generated, and independent reference matrix. And a single pixel bucket detector is used to collect the intensity of the readout beam. The associated operation of light intensity signal and reference matrix is conducted, the reconstructed hologram is obtained through calculating the phantom imaging algorithm. The reproductive image of the object is obtained using the digital holographic reconstruction algorithm. The feasibility of the proposed method is proved by theory analysis and simulation experiment.