Different intermediates are key molecules to synthesize high-added value bioactive and pharmacology molecules such as propargylamines may be synthesizedin several ways using catalysts in homogeneous and heterogeneous conditions. This review presents the catalysts which are used in the A3, AHA, and KA2 coupling reactions to afford propargylamines. It also provides a classification of all the propargylamines known up to date in the literature and their reported synthesis conditions.