Nanofibers are attractive substrates for tissue regeneration applications because they structurally mimic the native extracellular matrix. Electrospinning has been recognized as one of the most efficient techniques to fabricate polymer nanofibers. Recent research has demonstrated that cellular responses, for example attachment, proliferation and differentiation, can be modulated by tuning nanofiber properties. In combination with other processing techniques, such as particulate leaching or three-dimensional printing, nanofibrous scaffolds incorporating macroporous networks could be developed to enhance infiltration of cells. Three dimensional nanofiber-based constructs offer an opportunity to achieve advanced functional tissue regeneration. This review explores the advantageous effects of nanofibers on cell behaviors compared to traditional scaffolds.