In this paper, we study order-isomorphisms between real Holder-Lipschitz algebras. We first give some sufficient conditions that a map $T$ between these algebras be an order isomorphism. We next characterize the structure of order isomorphisms $T$ with certain properties between these algebras. Finally, we prove that every order isomorphism $T$ between real Holder-Lipschitz algebras is an essential weighted composition operator. d
