Hartlepool eased the pressure on boss Danny Wilson with a convincing win.
They took the lead after 30 minutes through Richard Barker's penalty after Luton's Chris Perry fouled Joel Porter.
Alan Thompson, on loan from Leeds, curled in a brilliant 30-yard free-kick after 61 minutes and Porter forced in a third three minutes later.
The fourth came 17 minutes from time when Antony Sweeney crossed from the right and Barker tapped in his 14th of the season after controlling it well.
Hartlepool: Budtz, Sweeney, Nelson, Collins, Humphreys, Brown (Foley 57), Boland (McCunnie 78), Liddle, Thompson (Monkhouse 76), Barker, Porter.
Subs Not Used: Elliott, Mackay.
Goals: Barker 30 pen, 73 Thompson 61, Porter 64.
Luton: Brill, Jackson, Keane, Perry (Goodall 67), Davis, Talbot, Spring, Hutchison (O'Leary 31), Robinson (Andrew 67), Bell, Furlong.
Subs Not Used: Beresford, Parkin.
Booked: Keane, Spring.
Ref: Neil Swarbrick (Lancashire).