The world silver medallist, who won last season's Wengen slalom, was just one hundredth of a second behind defending World Cup champion, Austria's Marcel Hirscher, after the twilight first run.
But he produced the goods when it mattered in the second run under lights and was the only skier to dip below two minutes, his combined winning time 1:59.75
Hirscher, seeking his fourth win of the season, dropped to second while Italy's Manfred Moelgg completed the podium. Indeed, in Neureuther's last four World Cup wins, Hirscher has always ranked runner-up.
Neureuther has now won five career World Cup slaloms, only one behind father Christian and two behind Armin Bittner in the all-time record books.
Great Britain's Dave Ryding, fresh from his silver medal in last weekend's Europa Cup in Chamonix, failed to finish his first run in only his second slalom World Cup of the campaign.