In the present work we have searched the existence of the late time acceleration of the universe with string fluid as source of matter in anisotropic Heckmann-Suchking space-time by using 287 high red shift $(0.3 leq zleq 1.4)$ SN Ia data of observed absolute magnitude along with their possible error from Union 2.1 compilation. It is found that the best fit values for $(Omega_{m})_{0}$, $(Omega_{Lambda})_{0}$, $(Omega_{sigma})_{0}$ and $(q)_{0}$ are 0.2820, 0.7177, 0.0002 $&$ -0.5793 respectively. Several physical aspects and geometrical properties of the model are discussed in detail.
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