We propose a minimal alternative gauged U(1)B-L model in which three right-handed neutrinos with charges of (5,-4,-4) and only one B-L Higgs field with charge 1 are introduced. Consistent active neutrino masses and mixings can be obtained if a Z2 symmetry on two of the right-handed neutrinos is introduced. It predicts two heavy degenerate right-handed neutrinos, which may realize the resonant leptogenesis scenario, and one relatively light sterile neutrino, which is a good dark matter candidate.