The Glenn Miller Orchestra, led by Ray McVay, musical director for the original BBC Come Dancing series, will be performing a special Sunday afternoon show at the town hall on October 21 at 3pm.
It was World War Two which brought the original orchestra to the UK, with the group led by Miller playing nearly 100 concerts around the country and performing around 40 radio broadcasts in 1944.
A plane Miller was travelling on in December 1944 while he was en route to entertain American troops in France disappeared in bad weather over the English Channel and was never found.
But the music has never died – and the current UK orchestra has been touring for 30 years after being put together by McVay back in 1988.
Alex Jackson, booker for Dudley Borough Halls, said: "We’re really excited to welcome The Glenn Miller Orchestra to Dudley for what promises to be a great Sunday afternoon concert for the whole family.
"The Orchestra maintains the exact line up on stage devised by Glenn, consisting of the leader, five saxophones, four trumpets, four trombones and three rhythm plus a male and female vocalist.
"The band’s library comprises of more than 200 scores, many of them from the original library, which includes terrific arrangements from both the civilian and Army Air Force orchestras.
"Songs made famous by the likes of Frank Sinatra, Dean Martin and Louis Armstrong are all featured in a show which also pays tribute to other big band leaders of the era like Artie Shaw and Benny Goodman.Tickets are selling really well and we’d urge people to book quickly."
Tickets cost £24, with OAP concessions £22, and are available by calling the box office on (01384) 812812 or at www.boroughhalls.co.uk