  The present study deals with spatially homogeneous and anisotropic locally
rotationally symmetric (LRS) Bianchi type I cosmological model with dominance
of dark energy. To get the deterministic model of Universe, we assume that the
shear scalar $(\sigma)$ in the model is proportional to expansion scalar
$(\theta)$. This condition leads to $A=B^{n}$, where $A$,\;$B$ are metric
potential and $n$ is positive constant. It has been found that the anisotropic
distribution of dark energy leads to the present accelerated expansion of
Universe. The physical behavior of the Universe has been discussed in detail.
