The topic of covenant is perhaps the most fundamental means for humans to think about their relationship to God within a particular religious tradition. Since the time of the Second Vatican Council, the Church has gradually been reconsidering what covenant means for Catholics worldwide, especially in relation to other traditions, namely Judaism. Therefore, this paper initially aims to identify what covenant means for Jews and Catholics on an individual basis and how each tradition has historically thought about the other. Secondly, being written from a Catholic standpoint, this paper aims to redefine what covenant means for Catholicism in terms of how it addresses Judaism. Ultimately, this paper proposes a Catholic model for thinking about Judaism in a non-supersessionist manner.