Sir James Murray, Lord Philiphaugh, PC (11 July 1655 – 1 July 1708) was a Scottish judge and politician who twice served as Lord Clerk Register from November 1702 to June 1704 and from April 1705 to July 1708, when he died in office. Serving as a political advisor to prominent statesman James Douglas, 2nd Duke of Queensberry, Murray assisted him in passing the 1707 Union with England Act through a divided Parliament of Scotland.