Axel Christian Smith (8 May 1744 – 20 June 1823) was a Norwegian priest and topographer.
He was born in Stavanger as a son of merchant Anders (Andreas) Smith (1716–1772) and his wife Sophia Amalia Prahl (1704–1765).
During his time, there was a significant growth of forestry in Trysil, and the area became a parish of its own in 1780.
In 1785 he penned the topographical-economical work Beskrivelse over Trysild Præstegjeld i Aggershuus Stift i Norge.
By that time, however, Smith had become vicar in Elverum and dean of Østerdalen deanery, in 1787.