He was son of a clergyman born in Næstved in 1837. Bajer served as an officer in the Danish army, fighting in the1864 war againstPrussia andAustria where he was promoted to the rank of first lieutenant. He was discharged in 1865, and moved to Copenhagen where he became a teacher, translator and writer.
He entered theDanish Parliament in 1872 as a member ofFolketinget and held a seat there for the following 23 years. As a member of parliament, he worked for the use of international arbitration to solve conflicts among nations, and it Bajer's efforts that caused foreign relations became part of the work of the Danish Parliament and that Denmark participated in theInter-Parliamentary Union from the beginning and earned a distinguished position among its members.[1][2]
^Skou, Kaare R. (2005).Dansk politik A-Å(in Danish). Aschehoug, p. 109.ISBN87-11-11652-8.
^Andersen, Holger (1953). "Den danske rigsdag og det interparlamentariske arbejde"(in Danish) in Fabricius, Knud; Bomholt, Jul.; Hjelholt, Holger; Mackeprang, M.; Møller, Andr. (eds.):Den danske rigsdag 1849–1949 bind VI. Copenhagen: J. H. Schultz Forlag, pp. 415–416.