  This paper is devoted to study some holographic dark energy models in the
context of Chern-Simon modified gravity by considering FRW universe. We analyze
the equation of state parameter using Granda and Oliveros infrared cut-off
proposal which describes the accelerated expansion of the universe under the
restrictions on the parameter $\alpha$. It is shown that for the accelerated
expansion phase $ -1<\omega_{\Lambda}<-\frac{1}{3}$, the parameter $\alpha$
varies according as $1<\alpha<\frac{3}{2}$. Furthermore, for $0<\alpha<1$, the
holographic energy and pressure density illustrates phantom-like theory of the
evolution when $\omega_{\Lambda}<-1$. Also, we discuss the correspondence
between the quintessence, K-essence, tachyon and dilaton field models and
holographic dark energy models on similar fashion. To discuss the accelerated
expansion of the universe, we explore the potential and the dynamics of
quintessence, K-essence, tachyon and dilaton field models.
