In the past years, one mainly focused on the symmetric Brownian motor (BM) with Gaussian noises, whose current and energy conversion efficiency are very low. Here, we investigate operating performance of the symmetric BM subjected to Lévy noise. Through numerical simulations, it is found that operating performance of the motor can be greatly improved in the asymmetric Lévy noise. Without any load, the Lévy noises with smaller stable indexes can let the motor give rise to a much greater current. With load, energy conversion efficiency of the motor can be enhanced more pronouncedly by adjusting the stable indexes of the Lévy noises with symmetry breaking. The research results are of great significance for opening up BM’s intrinsic physical mechanism and promoting development of nanotechnology.