Optical scanning holography (OSH) is a powerful computational imaging technique that encodes three-dimensional (3D) information of an incoherently illuminated or self-luminous object into 2D holograms using Fresnel zone patterns (FZPs) as structured illumination. However, conventional OSH methods require complex setups with mechanical scanning or multi-frame phase-shifting devices, limiting their imaging efficiency and system stability. In this Letter, we propose compressive motionless optical scanning holography (CMOSH), a novel, to the best of our knowledge, framework that eliminates the need for phase shifting and mechanical scanning in 3D incoherent holography. The unique combination of compressive holography and motionless OSH enables single-scan, twin-image-free holographic reconstructions, significantly improving the system stability and imaging throughput. It also provides true 3D depth-resolved imaging, accurately resolving multi-layer samples while eliminating defocused information. The effectiveness of CMOSH is demonstrated through numerical simulations and experimental demonstrations, highlighting its potential for robust and efficient 3D holographic imaging across diverse applications.