Motivated by the work of Granda and Oliveros L.N. Granda, A. Oliveros, Phys. Lett. B 671 (2009) 199,we generalize their work to the non-flat case. We study the correspondence between the quintessence,tachyon, K-essence and dilaton scalar field models with the new holographic dark energy model in the non-flat FRW universe. We reconstruct the potentials and the dynamics for these scalar field models, which describe accelerated expansion of the universe. In the limiting case of a flat universe, i.e. k = 0, all results given in L.N. Granda, A. Oliveros, Phys. Lett. B 671 (2009) 199 are obtained.
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