The U.S. Supreme Court has made several statements regarding the idea of America as a Christian nation. One notable case is Church of the Holy Trinity v. United States (1892), where the Court declared that "this is a Christian nation." Justice Josiah David Brewer, writing for the unanimous decision, emphasized that the historical record and public institutions of the United States were founded on Biblical principles from the Old and New Testaments.
Another case, Vidal v. Girard's Executors (1844), also reflected the influence of Christianity in American law. The Court held that Christianity is part of the common law and should not be maliciously reviled or blasphemed against.
These cases highlight the historical context in which the Supreme Court recognized the influence of Christianity on American law and society. However, it's important to note that the interpretation and application of these principles have evolved over time.