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In this paper we present a learning design ontology that is based on the IMS Learning Design (IMS LD) specification. The IMS LD is a metadata standard that describes the elements of the design of any teaching-learning process on the basis of a well-founded conceptual model. However, this specification has been modelled and represented using the XML-Schema language, which is not expressive enough to describe the semantics of all the elements of such conceptual model. To solve these limitations, we have developed an ontology using Protégé at the knowledge level, and then translated into OWL, to represent it in the standard language of the Semantics Web, and first order logic, to formalize the axioms defined in the ontology.