In this study, in context of general relativity we consider Einstein, Bergmann--Thomson, M{o}ller and Landau--Lifshitz energy-momentum definitions and we compute the total energy distribution (due to matter and fields including gravitation) of the universe based on Szekeres class I and class II space-times. We show that Einstein and Bergmann--Thomson definitions of the energy-momentum complexes give the same results, while M{o}ller's and Landau--Lifshitz's energy-momentum definition does not provide same results for Szekeres class II space. The definitions of Einstein, Bergmann--Thomson and M{o}ller definitions of the energy-momentum complexes give similar results in Szekeres class I space-time.

PACS numbers: 04.20.--q, 04.20.Cv