According to Galatians, the Law of Christ replaced the Law of Moses.
Paul wrote the letter to the Galatians to resist attempts to circumcise non-Jewish Christians. He wrote that God’s people are no longer subject to the Law of Moses. Paul described the law as Israel’s “tutor” and says, “we are no longer under a tutor.” The later chapters introduce the concept of “the Law of Christ.” Given the nature of the controversy in Galatians, the mention of “the law of Christ” implies that it comes in the place of the frequently mentioned “Law” (of Moses).