Siegel received his education in Dresden as a student of Friedrich August Krubsacius and Gottlob August Hölzer.
[1] This was followed in Leipzig from 1785 by employment as a teacher of architectural drawing at the Academy of Art (now the Academy of Visual Arts).
He then became a full professor and was head of the Department of Architectural Art until 1823.
[1] After 1823, he became a professor and head of the building school at the Dresden Academy of Art.
[2] In Dresden, the Brücknersche Haus was built in 1825 according to his designs on the corner plot Bautzener Platz/Alaungasse.