[2] As a 14 year old, he won the unofficial Swedish Youth Championship, Föreningsbanken Cup, at his age level, scoring 146 over 36 holes at Rya Golf Club.

[3] 15 years of age, he attended the Swedish upper secondary sports school, to combine studying with golf training.

[4][5] He also represented Sweden at the 2004 Eisenhower Trophy in Río Grande, Puerto Rico, were the Swedish team finished as bronze-medalists and Norén tied 3rd individually.

Norén had a solid rookie season on the European Tour in 2007 and improved on that the following year to finish in 31st place on the Order of Merit.

In June 2011, Norén won his second European Tour title at the Saab Wales Open played at The Celtic Manor Resort.

The following month, Norén won his third European Tour title at the Nordea Masters at Bro Hof Slott Golf Club in his home country of Sweden.

After two positive seasons in 2012 and 2013, where he registered third places at the Aberdeen Asset Management Scottish Open and the Alfred Dunhill Links Championship, Norén missed most of 2014 with tendonitis in both wrists.

[9] Norén came back to competitions in January 2015; in June he won his fourth European Tour title by capturing the Nordea Masters in Sweden for the second time in his career.

After finishing runner-up at the Paul Lawrie Matchplay in August, he won the Omega European Masters in September, beating Scott Hend at the first playoff hole.

In November, Norén won his fourth title of 2016 at the Nedbank Golf Challenge, capturing $1,166,660, the largest in his career so far.

In January 2018, Norén finished runner-up at the Farmers Insurance Open after entering the final round with a one stroke lead.

[15] Norén could not maintain his good form through 2019 and fell in the Official World Golf Ranking from 19th at the end of 2018 to 75th a year later.

On 26 July 2020, Norén had his best PGA Tour finish in over two years, when he tied 3rd at the 3M Open in Blaine, Minnesota, with a 268, (−16) score, three shots behind winner Michael Thompson.

At the 120th U.S. Open on 17−20 September 2020 at Winged Foot Golf Club, New York, Norén made the cut at 6 over par with no margin.

1Cancelled due to COVID-19 pandemic QF, R16, R32, R64 = Round in which player lost in match play NT = No tournament "T" = tied Note that the Championship and Invitational were discontinued from 2022.