We present an overview of constructional approaches to signed languages, beginning with a brief history and the pioneering work of William C. Stokoe. We then discuss construction morphology as an alternative to prior analyses of sign structure that posited a set of non-compositional lexical signs and a distinct set of classifier signs. Instead, signs are seen as composed of morphological schemas containing both specific and schematic aspects of form and meaning. Grammatical construction approaches are reviewed next, including the marking of argument structure on verbs in American Sign Language (ASL). Constructional approaches have been applied to the issue of the relation between sign and gesture across a variety of expressions. This work often concludes that signs and gesture interact in complex ways. In the final section, we present an extended discussion of several grammatical and discourse phenomena using a constructional analysis based on Cognitive Grammar. The data come from Argentine Sign Language (LSA) and includes pointing constructions, agreement constructions, antecedent-anaphor relations, and constructions presenting point of view in reported narrative.