  A ghost dark energy model has been recently put forward to explain the
current accelerated expansion of the Universe. In this model, the energy
density of ghost dark energy, which comes from the Veneziano ghost of QCD, is
proportional to the Hubble parameter, $\rho_D=\alpha H$. Here $\alpha$ is a
constant of order $\Lambda^3_{QCD}$ where $\Lambda_{QCD}\sim 100 MeV$ is the
QCD mass scale. We consider a connection between ghost dark energy with/without
interaction between the components of the dark sector and the kinetic k-essence
field. It is shown that the cosmological evolution of the ghost dark energy
dominated Universe can be completely described a kinetic k-essence scalar
field. We reconstruct the kinetic k-essence function $F(X)$ in a flat
Friedmann-Robertson-Walker Universe according to the evolution of ghost dark
energy density.
