The novel fluorescent nanofiber membranes of CsPbX3 (FNMs/CPX, X = Cl, Br, I) with a wide photoluminescence range from 405 nm to 675 nm are fabricated by a one-step electrospinning method in this paper. Owing to the polymer cladding, these FNMs/CPX show much better thermal and humid stability compared to the common CsPbX3 particles, and the corresponding white light-emitting diode prepared by them also exhibits excellent optical properties. Without adopting any complicated processes, this method opens up a brand new way for the perovskite materials using in lighting and display fields.