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After a brief review of the Maxwell-like approach to gravity we consider theissue of the negative energy of gravitational field which is a consequence ofthe field approach to the phenomenon of gravitation. Due to the existence ofthe negative field energy {\it within} a mass body its total energy content issmaller than the positive energy assigned to its mass energy. We study thetotal energy content of a spherically symmetrical mass body having constantmatter density, and show that its total energy content depends on its radius.We show that under certain circumstances, the total energy content of a massbody achieves negative values so that the force at its surface becomesrepulsive. We apply this idea to the evolution of universe filled by matter andthe negative energy density of its gravitational field. Since the negativeenergy density causes the negative pressure it might be considered as an agentwhich causes the acceleration of the universe.

Can the energy density of gravitational field be interpreted as dark energy?