- Mar 1 Louis Ducos du Hauron patents movie machine (never built)
- Mar 1 Rebecca Lee in the US becomes 1st African American woman to receive a medical degree
- Mar 5 1st track meet between Oxford & Cambridge
- Mar 9 26th Grand National: George Stevens wins his 3rd GN aboard 10/1 Emblematic; winning mare's full sister Emblem the race winner the previous year
Commander of the Army Ulysses S. Grant
Mar 9 Ulysses S. Grant is named Commanding General of the U.S. (Union) Army
Petite Messe Solennelle
Mar 14 Gioachino Rossini's sacred work "Petite Messe Solennelle" premieres at his home in Paris, France
- Mar 14 Union troops occupy Fort de Russy, Louisiana
- Mar 15 Red River Campaign-Union forces reach Alexandria, Louisiana
Music Premiere
Mar 19 Charles Gounod's opera "Mireille" premieres at the Théâtre Lyrique in Paris, France
- Mar 21 Battle at Henderson's Hill (Bayou Rapids) Louisiana
- Mar 23 Encounter at Camden, Arkansas
- Mar 25 Battle of Paducah, Kentucky (Forrest's raid)
- Mar 29 Great Britain gives the Ionian Islands back to Greece
- Mar 29 Union General Steeles troops reach Arkadelphia, Arkansas
- Mar 30 Skirmish at Mount Elba, Arkansas