- Mar 2 Long-distance communication speeds up with the unveiling of a semaphore machine in Paris
- Mar 3 1st US internal revenue act (taxing distilled spirits & carriages)
- Mar 3 Congress establishes US Mint
- Mar 4 First Jewish member of US Congress, Israel Jacobs (PA), takes office
- Mar 4 President Washington calls the US Senate into its first special session
- Mar 4 Vermont admitted as 14th state (1st addition to the 13 colonies)
- Mar 10 John Stone of Concord, Massachusetts, patents a pile driver
- Mar 10 Pope condemns France's Civil Constitution of the clergy
- Mar 11 Samuel Mulliken is 1st to obtain more than one US patent
Historic Publication
Mar 18 Robert Burns poem “Tam o’ Shanter,” is published in the "Edinburgh Herald"

Robert Burns
- Mar 21 Captain Hopley Yeaton becomes 1st commissioned officer in the Revenue Marine, later the Revenue Cutter Service, the forerunner of the modern US Coast Guard