  In this paper we introduce a LTB-Bianchi I (plane symmetric) model of
Universe. We study and solve Einstein field equations. We investigate the
effects of such model of Universe in particular these results are important in
understanding the effect of the combined presence of an inhomogeneous and
anisotropic Universe. The observational magnitude-redshift data deviated from
UNION 2 catalog has been analyzed in the framework of this LTB-anisotropic
Universe and the fit has been achieved without the inclusion of any dark
energy.
