Tveiten was born in the parish of
Fyresdal in
Telemark, Norway. He was the son of Petter Veum (1811–89) and Tone Lislestog (1827–53). He graduated from the
Kviteseid School (
Kviteseid Seminar) in 1868. He served as a teacher from 1868 to 1883. In 1875, he acquired the farm Tveiten Vestre in Liegrend (
Tveiten vestre Gnr. 88/2). He was elected to Parliament as a representative of
Bratsberg amt (now
Telemark) from 1903 to 1924. He was Vice President 1916, President 1917-1920 and Chairman of the Presidency in 1920. Tveiten was made a member of the
Order of St. Olav Order in 1914. He died during 1934 and was buried in the cemetery at Veum Church in Fyresdal.{{cite web|url = https://lokalhistoriewiki.no/wiki/Veum_kyrkje_(Fyresdal)|title = Veum kyrkje (Fyresdal)|publisher = lokalhistoriewiki.no ==References==