Axel Theodor Kittendorff (19 October 1821 - 8 March 1868) was a Danish xylographer.

Kittendorff was born on 19 October 1821 in Copenhagen, the son of master weaver Johann Adolph Friedrich Kittendorff (1793–1849) and Anna Amalie Elisabeth Kuhn (1797–1864).

After his confirmation, he became an apprentice in xylographer Andreas Flinch's workshop while at the same time attending classes at the Royal Danish Academy of Fine Arts.

Kittendorff married Emilie Christiane Catharina Kretzschmer (19 April 1827 i Kbh.

In 1852, Kittendorff commissioned the architect Johan Daniel Herholdt to design a villa for him at Bianco Lunos Side Allé in Frederiksberg.