Carl Bricka was born in Copenhagen, Denmark. His father, Frederik Vilhelm Theodor Bricka (1809-79), was a medical doctor. He attended Metropolitanskolen and earned his Magister degree from the University of Copenhagen (1870). He became an assistant at the Danish Royal Library in 1871. During the period 1883-97, he was employed in the Danish National Archives, after which he became the department head (Rigsarkivar). 
Bricka became a member of the board of the Danish Historical Society and edited the historical magazine published by the association (1878-97). He also served as editor of Danske Magazin (1883-1901). From 1885 until his death in 1903, he was the publisher of the Dansk biografisk lexikon: tillige omfattende Norge for Tidsrummet 1537–1814. The first edition of this Danish biographic encyclopedia was published by Gyldendal in 19 volumes between 1887 to 1905. He died in Copenhagen and was buried at Frederiksberg Ældre Kirkegård.
- "C.F. Bricka". Den Store Danske. Retrieved July 1, 2017.
- Carl Frederik Bricka. "Bricka, Frederik Vilhelm Theodor, 1809-79". Dansk biografisk Lexikon. Retrieved July 1, 2017.
- "Metropolitanskolen". University of Copenhagen. Archived from the original on 2011-07-03. Retrieved July 1, 2017.
- "Carl Frederik Bricka". Store norske leksikon. 22 March 2017. Retrieved July 1, 2017.
- L.L.: Bricka, Carl Frederik, in Blangstrup, Christian (ed.): Salmonsens Konversationsleksikon, Copenhagen 1915 – 1930, vol. III (1915), p. 947f. URL last accessed 2007-09-15.