The mammalian hearing organ, the organ of Corti, consists of a precisely organized checkerboard-like pattern of four rows of hair cells (HCs) interspersed by non-sensory supporting cells (SCs). How such precise patterning emerges during development is not well understood. Using a combination of quantitative morphological analysis and time-lapse imaging of mouse cochlear explants, we show that patterning of the organ of Corti involves dynamic reorganizations that include lateral shear motion, cell intercalations, and delaminations. A mathematical model, where tissue morphology is described in terms of the mechanical forces that act on cells and cellular junctions, suggests that global shear on HCs and local repulsion between HCs are sufficient to drive the tissue into the final checkerboard-like pattern. Our findings suggest that precise patterns can emerge during development from reorganization processes, driven by a combination of global and local forces in a process analogous to shear-induced crystallization in physics