In this paper, we extend fermions tunneling radiation to the case of five-dimensional charged black holes by introducing a set of appropriate matrices γ μ for general covariant Dirac equation of 1/2 spin charged Dirac particles in the electromagnetic field. It is expected that our result can strengthen the validity and power of the tunneling method. We take the charged Gödel black holes in minimal five-dimensional gauged supergravity for example in order to present a reasonable extension of the tunneling method. As a result, we get fermions tunneling probability of the black hole and the Hawking temperature near the event horizon. charged Gödel black hole, tunneling probability, Hawking radiation, Hawking temperature PACS: 04.70.Dy, 04.62.+v, 04.70.-s, 97.60.Lf