Gallus Jacob Baumgartner (18 October 1797 in Altstätten, Switzerland – 12 July 1869 at St. Gall) was a Swiss statesman and prominent federalist.

Returning to Vienna in 1819, he was arrested there after the murder of August von Kotzebue by Karl Ludwig Sand on the false suspicion of belonging to a Swiss political society and was expelled form the city in 1820.

During his administration he tried to make a closely united republic out of the loosely connected cantons, and to improving the Swiss roads and waterways.

After his defeat in 1864, Baumgartner withdrew altogether from public life and devoted himself to the study of the history of his native canton.

A third volume of the history was prepared by his son, Alexander, from the papers Baumgartner left at his death, and issued in Einsiedeln in 1890.