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...
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