Neureuther rattled down the slippery, bumpy course the second time in 55.93 seconds for a combined-run time of 1 minute, 53.23 seconds, comfortably ahead of second-place Henrik Kristofferson of Norway.
Neureuther had been hot on the heels of Hirscher after the first run but the German veteran, who leads in the men's overall World Cup standings, got hung up on a gate in the second run and finished 23rd.
"Everything about (the race) was tough; it was so bumpy and hard to ski on," Neureuther said. "I wanted to do a safe second run and luckily it was enough."
Patrick Thaler of Italy took third with a 1:54.05.
"I was a bit lucky with Hirscher skiing out," Thaler said. "He would have been ahead for sure but he went out and I didn't ... that's how thing go in this sport."
Ted Ligety was the top U.S. finisher, placing 15th with a 1:55.39. He nearly crashed near the bottom of the run, which was slick from a heavy, wet snowfall.