- Mar 2 University of Illinois opens
- Mar 4 30th Grand National: George Ede victorious aboard Irish 9/1 shot The Lamb; horse wins second GN in 1871
- Mar 5 Arrigo Boito's opera "Mefistofele" premieres in Milan
- Mar 5 Stapler patented in England by C H Gould
- Mar 5 US Senate organizes to decide charges against President Andrew Johnson
- Mar 9 The opera "Hamlet" by Ambroise Thomas premieres in Paris
- Mar 12 Great Britain annexes Basutoland in Africa (later renamed the Kingdom of Lesotho)
- Mar 12 Henry O'Farrell attempts to assassinate Prince Alfred, Duke of Edinburgh, in Sydney, Australia, Duke is shot but survives
- Mar 12 US Congress abolishes manufacturer's tax
Johnson Impeachment Trial
Mar 13 Senate begins US President Andrew Johnson's impeachment trial
- Mar 17 Postage stamp canceling machine patent issued
Jesse James Robbery
Mar 20 Jesse James Gang robs a bank in Russellville, Kentucky, of $14,000
- Mar 21 1st US professional women's club, Sorosis, forms in NYC
- Mar 23 University of California founded in Oakland, California
- Mar 24 Metropolitan Life Insurance Co forms
- Mar 27 The Lake Ontario Shore Railroad Company is organized in Oswego, New York.
- Mar 31 Chinese Embassy arrives aboard steamship China