We present multi-exposure compressive in-line holography (MCIH), which applies compressive holography to multi-exposure in-line holograms. Multi-exposure holograms of 4D moving object can be captured continuously at different time by in-line hologram recording setup. A new single hologram is generated by coded multi-exposure holograms uniformly. 4D moving object can be reconstructed by the new single hologram. And then the trajectory of moving object can be tracked, and the location of time-space object can be defined. The method is verified by two experiments. The results of experiments show that MCIH can obtain the time-varying location of moving object.