Data security and data sovereignty are the fundamental characteristics of the International Data Space. Participants within the International Data Space must therefore use certified software (e.g., a »Connector«) in order to securely exchange data in a sovereign way. Furthermore, data is only exchanged if the exchange takes place between certified participants that operate trustworthy operational environments. The International Data Space Certification Scheme is of fundamental importance for making this happen. Certification provides a very high degree of transparency and trust. This transparency is achieved by making the certification requirements available to the public. Evaluating the components regarding their fulfillment of the defined levels of security can achieve the necessary trust. This document therefore presents the criteria catalogue for the Connector component.