The process of regeneration describes the full restoration of tissue after destruction from injury or disease. Most mammals show very limited ability for regeneration of adult organs, while vertebrate models of regeneration such as fish and salamanders, allow to study regeneration mechanism of the brain, heart, limbs, retina, and other organs in adults. The regenerative abilities of teleost fish are well documented, but the cellular sources for regeneration, the specificity of source cells for restored cell types, as well as the extent and fidelity of cell replacement are only beginning to be revealed for many regeneration paradigms. Here, we highlight recent analyses of adult neurogenesis and regeneration after injury in teleost fish that address these issues, and we discuss how such analyses can help to evaluate the role of different cells in tissues in the regeneration process.