Imaging and computational processing fusion technologies have expanded the wavelength range that can be visualized. However, it is still challenging to realize a system that can image a wide range of wavelengths, including non-visible regions, in a single system. Here, we propose a broadband imaging system based on femtosecond-laser-driven sequential light source arrays. The light source arrays allow us to form ultra-broadband illumination light depending on the excitation target and irradiated pulse energy. We demonstrated X-ray and visible imaging under atmospheric pressure by using a water film as an excitation target. Furthermore, by applying a compressive sensing algorithm, the imaging time was reduced while maintaining the number of pixels in the reconstructed image.