 Rodger married Jean Chalmers in 1934, with whom he had two sons and a daughter.His son, Alan, was Lord President of the Court of Session, the head of Scotland's judiciary, from 1996 to 2001, and served as a judicial member of the House of Lords and subsequently Justice of the Supreme Court of the United Kingdom until his death in 2011; his daughter is a consultant physician.The family lived in Bearsden, an affluent suburb of Glasgow.