Lindberg played primarily football as a kid, but later switched to handball. He started playing handball at the club Høj Ølstykke. His professional career in Team Helsinge. In 2006, Team Helsinge merged with Hillerød HK, and is now
Nordsjælland Håndbold. Between 2005 and 2007 he played for
Viborg HK In the 2006-07 season, he was the top scorer in the Danish league with 187 goals in 26 matches. Viborg reached the final of the Danish Championship, but lost to
GOG Svendborg TGI. In 2007, he joined German club
HSV Hamburg. It was reported in Danish media that
THW Kiel was also interested in him, but it was denied by the club. With HSV, he won the
DHB-Supercup in 2009. He won
2012–13 EHF Champions League with
HSV Hamburg, becoming top scorer in the tournament. Lindberg became the 2009–2010, 2012–2013, and 2021–2022 season's Bundesliga Best Goal Scorer. From 2016 to 2024 he played for
Füchse Berlin. On 20 May 2023, Lindberg became the highest scoring player in Bundesliga history. The 12 goals he scored against
GWD Minden took him past the 2905 goals scored by
Yoon Kyung-shin. He won the
2022–23 EHF European League with Füchse Berlin. ==Individual awards==