Optical recording of digital holograms by coherent light traditionally involves interference between object and reference waves, which complicates the image acquisition process and decreases the power efficiency. In this work, we take the coded aperture correlation holography technique one step forward to record coherent digital holograms of three-dimensional scenes, without wave interference and in a motionless working mode. In addition to the explicit benefits of integrating interferenceless holographic imaging system with coherent illumination, the suggested method enables fast image acquisition implied by its inherent high signal-to-noise ratio. Experimental validation for diffusely reflective objects is also provided, making this relatively simple system appropriate for studying and using the speckle phenomena in coherent digital holography.