The leader in the World Cup discipline standings finished .25 ahead of Austrian Hannes Reichelt with his team-mate Kjetil Jansrud finishing third a further hundredth back.
“It was definitely quite dark and bumpy but I was lucky to avoid the fog,” Svindal, who crashed on the Lauberhorn after a jump and ended up in the safety nets, said after his run.
“But apart from that, the slope looks a good and with the weather improving in the next days it will be a great race as always.”
Andrej Jerman of Slovenia crashed and was taken to hospital by helicopter. The 34-year-old suffered a concussion.
There are two further training sessions on Wednesday and Thursday before the downhill on the legendary Hahnenkamm on Saturday.
The Super G is on Friday with the Super Combined and Slalom on Sunday.
1 Aksel Lund SVINDAL (NOR) 1:59.34
2 Hannes REICHELT (AUT) 1:59.59
3 Kjetil JANSRUD (NOR) 2:00.00
4 Erik GUAY (CAN) 2:00.57
5 Travis GANONG (USA) 2:00.64
6 Adrien THEAUX (FRA) 2:00.65
7 Peter FILL (ITA) 2:00.86
8 Dominik PARIS (ITA) 2:00.99
9 Andrej SPORN (SLO) 2:01.15
10 Georg STREITBERGER (AUT) 2:01.29