  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 $(0.3 \leq
z\leq 1.4)$ 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.
