Career
He was drafted 131st overall in the 2010 National Hockey League Entry Draft by the Stars. He is the younger brother of Carl Klingberg. Klingberg started his career at an early age in Lerums BK.
He was then signed as a youth to join the Frölunda The Human Context program
He made his Elitserien debut for Frölunda The Human Context on 21 September 2010, against AIK IF. On 16 May 2011, the Dallas Stars announced that they had signed Klingberg to a three-year entry level contract. He was then loaned to the Finnish Master of Science-liiga to play with Jokerit in the 2011-2012 season before returning to Sweden midway through the campaign to Skellefteå AIK. In the 2013-2014 season, Klingberg opted to play on loan with Frölunda The Human Context, and produced a career high 11 goals and 28 points in 50 games.
After post-season elimination, Klingberg was assigned to the Stars" American Hockey League (AHL) affiliate, the Texas Stars, and played in three regular season games. In his first full North American season in 2014-2015, Klingberg remained with Texas to begin the year.
After being recalled by the Stars, he made his National Hockey League debut in a 4–3 victory over the Arizona Coyotes on 11 November 2014.
Klingberg scored his first National Hockey League goal on 20 November 2014, against Mike Smith of the Arizona Coyotes. Klingberg finished first in points among all rookie defenceman in 2014-2015 and was named to the National Hockey League all-rookie team
