Striker Paul Benson scored twice for Luton as the Hatters edged a seven-goal thriller against Tamworth at the Lamb.
Duane Courtney's close-range effort put the hosts in front, but Luton went into the break 2-1 up after Jonathan Smith and Andy Parry struck from distance.
Benson headed in a third and latched onto Andre Gray's pass to make it four goals in 23 minutes for the visitors.
Lateef Elford-Alliyu's penalty and Courtney's second ensured a nervy finish but John Still's men held on.
VIEW FROM THE DRESSING ROOM
Luton Town manager John Still told BBC Three Counties Radio:
"I take my hat off to both teams. I give them every credit. They both played to their strengths. The atmosphere was a cup tie atmosphere - and we've come through it.
"We're not playing to defend, we're playing to attack, and sometimes when you play to attack you might concede goals.
"At the end of the day, I thought it was a cracking game."
Tamworth 01 Belford 06 Richards-Everton 19 Capaldi 15 Courtney 08 Baker (Hildreth - 46' ) 07 Kerry 27 Wright (Richards - 65' ) 20 Todd (Chadwick - 46' ) 25 Higgins 26 Elford-Alliyu 17 Peniket Substitutes 29 Hildreth 09 Richards 14 Regan 18 Woolery 28 Chadwick Luton Town 01 Tyler 14 Parry 25 Henry 12 Griffiths 30 Lacey 05 McNulty 22 Whalley 21 Guttridge (Lawless - 72' ) 04 Smith 26 Benson 27 Gray (Charles - 87' ) Substitutes 23 Robinson 16 Justham 13 Cullen 07 Lawless 06 Charles
Ref: Robert Whitton