This study is purposed to elaborate the problem of energy and momentum distribution of the viscous Kasner-type universe in general theory of relativity. In this connection, we use the energy-momentum definitions of Einstein, Papapetrou and Landau-Lifshitz and obtained that the energy-momentum distributions (due to matter plus field) of the closed universe which is based on the viscous Kasner-type metric are vanishing everywhere. These results are exactly the same as those obtained by Salti et al. and agree with a previous work of Rosen and Johri et al. who investigated the problem of the energy in Friedmann-Robertson-Walker universe. The result that the total energy-momentum of the universe in these models is zero supports Tryon's viewpoint.