 Baker was appointed a Fellow of University College London in 1991, awarded an Honorary LLD of the University of Chicago in 1991, and received the Yorke Prize (University of Cambridge) 1975, and the Ames Prize (Harvard Law School) in 1985.He was knighted in 2003, the only man ever knighted for services to legal history.In 2004, he was awarded the Irish Legal History Society's Gold Medal.