Acceleration of the Universe as a consequence of gravitation properties

The analysis of the data from the distant supernovae (A.Riess et al, Astron.J. {\bf 116}, 1009, (1988)) for acceleration of the expending Universe from the viewpoint of the gravitation equations proposed by one of the authors (Phys.Lett. {\bf 156}, 404 (1991)) is given. It is shown that the result from the above data that the deceleration parameter $q_{0}$ is negative is a natural consequence of the property of the gravitation force which follows from the above gravitation equations . It is an alternative explanation to general relativity where a nonzero cosmological constant is used to explain the data.