Accrington had the chance to win their first game in five games at the weekend when Andy Proctor missed a last-minute penalty against Dagenham and Redbridge, his second spot-kick blunder in as many weeks.
But Stanley's winless streak has now been stretched to six games after yet another goalless draw.
Far from a mini-revival considering their position, but the Hatters are now unbeaten in three games.
Rossi Jarvis shot wide for the Bedfordshire side as early as the seventh minute, while full debutant Sean McConville, the winger they signed from non-league side Skelmersdale United this month, did the same six minutes later.
McConville and Chris Martin later had shots blocked at either end as the deadlock remained unbroken at the end of the first 45 minutes.
While Stanley captain Paul Mullin fluffed an effort from a John Miles cross early in the second half, Luton will argue they had the more frequent sights on goal.
Within the space of 30 seconds just before the hour mark Tom Craddock had a shot saved by the reliable Kenny Arthur - and Sam Parkin had a shot blocked by Phil Edwards.
A shot from Asa Hall missed the left-hand upright just after the 60-minute mark, but striker Craddock rattled the upright nine minutes later from inside the area.
James Bell also had a shot blocked as Stanley came out of their shell later on in the half, and Craig Lindfield had the hosts' best chance in the 80th minute. But the young striker missed the left-hand post with a curling right-footed effort.
He also saw a header flash wide in injury time. Despite their poor form, Accrington still have a sizeable cushion above the bottom two.