  It was argued that the vacuum energy of the Veneziano ghost field of QCD, in
a time-dependent background, can be written in the general form, $H + O(H^2)$,
where $H$ is the Hubble parameter. Based on this, a phenomenological dark
energy model whose energy density is of the form $\rho=\alpha H+\beta H^{2}$
was recently proposed to explain the dark energy dominated universe. In this
paper, we investigate this generalized ghost dark energy model in the setup of
Brans-Dicke cosmology. We study the cosmological implications of this model. In
particular, we obtain the equation of state and the deceleration parameters and
a differential equation governing the evolution of this dark energy model. It
is shown that the equation of state parameter of the generalized ghost dark
energy can cross the phantom line ($w_D=-1$) in some range of the parameters
spaces.
