© Rex Features / Courtesy Everett Collection
A message on his official website has confirmed that Martin passed away of an undisclosed ailment last Friday in Encinitas, California.
He is perhaps best known for writing several tracks including 'The Trolley Song' alongside partner Ralph Blane for the 1944 musical film Meet Me In St Louis, which starred Judy Garland and Mary Astor.
Martin also penned 'Have Yourself A Merry Little Christmas' for the movie. The song has gone on to become a seasonal favourite and has been covered by artists as diverse as Frank Sinatra, Christina Aguilera and James Taylor.
The Alabama native also worked extensively on Broadway as an arranger for several noted productions including The Boys From Syracuse and Gentlemen Prefer Blondes.
His autobiography, Hugh Martin: The Boy Next Door, was released last year.
