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Let U and V be two Archimedean Riesz spaces. An operator S : U → V is said to be unbounded order continuous (uo-continuous), if rα uo → 0 in U implies Srα uo → 0 in V . In this paper, we give some properties of the uo-continuous dual Uuo~ of U. We show that a nonzero linear functional f on U is uo-continuous if and only if f is a linear combination of finitely many order continuous lattice homomorphisms. The result allows us to characterize the uo-continuous dual Uuo~. In general, by giving an example that the uo-continuous dual U~ uo is not a band in U~, we obtain the conditions for the uo-continuous dual of a Banach lattice U to be a band in U~. Then, we examine the properties of uo-continuous operators. We show that S is an order continuous operator if and only if S is an unbounded order continuous operator when S is a lattice homomorphism between two Riesz spaces U and V . Finally, we proved that if an order bounded operator S : U → V between Archimedean Riesz space U and atomic Dedekind complete Riesz space V is uo-continuous, then /S/ is uo-continuous. [ABSTRACT FROM AUTHOR]