We calculate the energy of a model of the universe based on the Bianchi type VI0 metric using the energy-momentum complexes of Landau and Lifshitz and of Papapetrou. The energy due to the matter plus field is equal to zero. This result is the same as that which we obtained for the Bianchi type VI0 universe using the energy-momentum complexes of Tolman, Bergmann and Møller.