Tønne began his playing career as a youngster with Nardo, Rosenborg and Strindheim in his native Norway before moving to England to sign for Sheffield United in 2011.

[14] Having established himself on the fringes of the first team Tønne signed a contract extension in January 2012 to keep him at United until the summer of 2014,[15] and was subsequently loaned to Conference Premier side York City until the end of the 2011–12 season.

[17] Tønne did not feature for United the following season and in March 2013 he was allowed to return to Norway for a trial with HamKam,[19] and was subsequently signed an eight-month loan deal with the club.

[3] On 8 August 2013 it was confirmed that Tønne had been recalled from his loan at HamKam so that he could sign for Sandnes Ulf in the Tippeligaen on a permanent basis, thus ending his career with Sheffield United.

[21] Tønne made his debut, coming on as a 57th-minute substitute for Marius Helle against Tromsø on 11 August 2013, when his new teammates won 2–1 at home.