We present the results of a combined experimental and theoretical investigation of drop impact on a fiber. Our systematical experiments reveal that droplet motions critically depend on inertial force and surface tension, and the motions are thus prescribed by Weber number. We identify three different groups of the motions and suggest a regime map, which is explained by a scale analysis regarding force balance. We analyze how the amount of remaining water on the fiber depends on the regimes. We provide the physical models for residual water on the fiber, which shows a good agreement with the experimental observations. Our study can be extended to predicting the remaining droplet with the arallel arrangement of fibers, the critical problem in air filtration, water collection, and fiber coating.