Fe2NiGa nanofibers have been successfully synthesized by a simple and low-cost electrospinning method combined with heat treatment. It was found that the annealing temperature and metal salt content in the precursor solution have significant effect on the phase composition, morphology and magnetic properties of Fe2NiGa nanofibers. The obtained Fe2NiGa nanofibers show an excellent soft ferromagnetism with a high saturation magnetization and low coercivity. Magnetic measurement shows that the temperature dependence of the magnetization follows the spin-wave behavior at low temperature. A large magnetic moment of 5.2 mu(B) and high Curie temperature of 842 K for Fe2NiGa nanofibers are reported which is of potential interest for magnetic device and spintronic applications.