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Abstract. The Concurrent Constraint Paradigm (cc in short) is a simple and highly expressive formalism for modeling concurrent systems where agents execute asynchronously, interacting among them by adding and consulting constraints in a global store. The cc model replaces the notion of store-as-valuation with the notion of store-as-constraint. There exist several programming languages that extend the cc model by introducing a notion of time. The notion of time allows us to represent concurrent and reactive systems. The different definitions for time make each language better suited for modeling a specific kind of application (deterministic embedded systems, non-deterministic reactive systems, etc.). This paper studies the relation between the universal timed concurrent constraint language (utcc in short) and the timed concurrent constraint language (tccp). We show how utcc can be mapped into tccp by means of a transformation that preserves the original behavior. We also prove the correctness of the transformation.