Matthew Spring's last-gasp free-kick against lowly Port Vale earned Luton their first away win of the season.
Spring struck his 35-yard shot well, but Vale goalkeeper Joe Anyon looked in control until the ball sped inches inside his left-hand post.
Luton had the best possible start with Polish central defender Jaroslaw Fojut volleying them ahead on three minutes.
But Vale drew level in first-half stoppage time, when Callum Willock steered his shot past Dean Brill.
Port Vale: Anyon, McGregor, Pilkington, Lowe, Talbot, Whitaker, Rocastle (Edwards 78), Hulbert, Salmon (Rodgers 63), Glover, Willock.
Subs Not Used: Martin, Richards, O'Loughlin.
Goals: Willock 45.
Luton: Brill, Perry, Keane, Fojut, Goodall, Bell (Hutchison 90), Edwards, Spring, Currie (McVeigh 88), Talbot (Furlong 86), Andrew.
Subs Not Used: O'Leary, Emanuel.
Goals: Fojut 3, Spring 90.
Ref: Rob Shoebridge (Derbyshire).