  Motivated by the work [K. Karami, J. Fehri, {{\it Phys. Lett. B}} {\bf 684},
61 (2010)] and [A. Sheykhi, {{\it Phys. Lett. B}} {\bf 681}, 205 (2009)], we
generalize their work to the new holographic dark energy model with
$\rho_D=\frac{3\phi^2}{4\omega}(\mu H^2+\nu\dot{H})$ in the framework of
Brans-Dicke cosmology. Concretely, we study the correspondence between the
quintessence, tachyon, K-essence, dilaton scalar field and Chaplygin gas model
with the new holographic dark energy model in the non-flat Brans-Dicke
universe. Furthermore, we reconstruct the potentials and dynamics for these
models. By analysis we can show that for new holographic quintessence and
Chaplygin gas models, if the related parameters to the potentials satisfy some
constraints, the accelerated expansion can be achieved in Brans-Dicke
cosmology. Especially the counterparts of fields and potentials in general
relativity can describe accelerated expansion of the universe. It is worth
stressing that not only can we give some new results in the framework of
Brans-Dicke cosmology, but also the previous results of the new holographic
dark energy in Einstein gravity can be included as special cases given by us.
