The match at Kenilworth Road will take place on Tuesday, October 3, kicking off at 19:30 BST.
The original fixture was postponed from its original date of August 19 because Luton Town were unable to offer the Premier League and Burnley FC a guarantee that ongoing work to Kenilworth Road would not impact the scheduling of this match at late notice for supporters.
The redevelopment of Kenilworth Road has now been completed and the stadium hosted its first Premier League match on September 1.