Robert Hugh Willoughby (June 6, 1921 – March 27, 2018) was an American classical flute player and flute teacher.
He played both Baroque and modern flute.
He has been described by Flute magazine as the "American grandmaster of the flute".
Willoughby taught for many years at Oberlin College, where he was the first Robert Wheeler Professor of Performance.
He taught for ten years at the Peabody Institute, and later at the Longy School of Music of Bard College.
He received the Alumni Achievement Award from Eastman School of Music and in 1996 he received a Lifetime Achievement Award from the National Flute Association.