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In this paper, we have investigated $\Lambda$CDM type cosmological model inHeckmann-Schucking space-time, by using 287 high red shift ($ .3 \leq z \leq1.4$ ) SN Ia data of observed absolute magnitude along with their possibleerror from Union 2.1 compilation. We have used $\chi^{2}$ test to compare Union2.1 compilation observed data and corresponding theoretical values of apparentmagnitude $(m)$. It is found that the best fit value for $(\Omega_{m})_0$,$(\Omega_{\Lambda})_0$ and $(\Omega_{\sigma})_0$ are $0.2940$, $0.7058$ and$0.0002$ respectively and the derived model represents the features ofaccelerating universe which is consistent with recent astrophysicalobservations.

$\Lambda$-CDM type Heckmann - Suchuking model and union 2.1 compilation