After two days of delays, the event got back on track despite the cold and windy conditions at the Blackstone Course.
Noren is seeking his fourth European Tour victory and first since winning twice in 2011. He says: "The tough thing here is to judge the wind on the second shots, so it's been tricky for the mind and I'm exhausted right now."
Pablo Larrazabal of Spain (68) and Peter Whiteford of Scotland (68) share second place at 8 under.
Former British Open winner Louis Oosthuizen shot a 71 to be equal eighth at 5 under.