The Hatters played out a thrilling 3-2 victory over the former league leaders.
A Cherries own goal handed Luton the lead, before Allan Campbell made it 2-0 just before half-time.
A double in the second half from the visitors left Luton fans sweating, but Kal Naismith sent the home end into hysterics with a 97th minute winner to take them up to 13th.
Nathan Jones’ side will take a trip to Reading in their next Championship fixture on Wednesday.
Here are the best of today’s rumours...
. BARNSLEY, ENGLAND - DECEMBER 17: A general view of the Sky Bet EFL Puma Hi-Vis match ball prior to the Sky Bet Championship match between Barnsley and West Bromwich Albion at Oakwell Stadium on December 17, 2021 in Barnsley, England. (Photo by George Wood/Getty Images)
17th January 2022 - Championship rumours Photo: George Wood
. Preston to secure new deal for defender
Preston North End are set to tie Patrick Bauer down to a new contract. The German's current deal expires this summer. (LancsLive) Photo: Nathan Stirk
1. Celtic told they "cant afford" Semenyo
Celtic have been told ‘they can’t afford’ Bristol City forward Antoine Semenyo after they sent scouts to assess the £20m rated striker with a view to making a move in the summer (FLW) Photo: Alex Davidson
2. Cherries could try to make Davis move permanent
Bournemouth are considering a permanent move for Leeds United loanee Leif Davis in the summer (DorsetLive) Photo: Bryn Lennon
3. Chelsea target West Brom teenager
Chelsea "lead the chase" for 15-year old West Brom youth star Jamaldeen Jimoh (The Sun) Photo: Bryn Lennon
4. Spurs and Arsenal give up on Carvalho
Arsenal and Tottenham have both reportedly conceded defeat in their pursuit of Fulham hotshot Fabio Carvalho - leaving Manchester United and Liverpool free to battle over a summer deal for the youngster (Express) Photo: Jacques Feeney