Transdisciplinary (TD) engineering design is a useful approach for engineers when responding to the wicked problems of sustainability and systems transitions. A research gap lies in understanding the quality criteria for TD engineering design, and in investigating to what extent existing studies in the field exhibit TD qualities. In this semi-systematic literature review we develop a framework of quality criteria for TD engineering design and then analyse relevant literature using the framework. The paper concludes methodological recommendations for future TD engineering design studies.