Compressed sensing terahertz digital holography technology is utilized to reconstruct three-dimensional images of a continuous scene. The control parameters affecting the reconstruction results primarily include the numbers of iterations and the sparse limit parameter. First, the holograms of a continuous scene and a discrete scene on three dimensions were reconstructed, simulated and compared. Then, the number of iterations was changed, and the reconstruction results varying with sparse limit parameters was used to find the best control parameters. Simulation results show that the reconstructed image quality is optimal when the number of reconstruction planes is 4, number of iterations is 300, and sparse restriction parameter is not greater than 0.02.