• February 9 - After no presidential candidate received a majority of electoral votes, the United States House of Representatives elects John Quincy Adams President of the United States.
• February 12 - Creek Indians cede the last of their lands in Georgia to the United States government, and migrate west
• March 4 - John Quincy Adams officially succeeds James Monroe as President of the United States.
• Railroad transportation begins with first track in England
• October 26 - the Erie Canal opens - passage from Albany, New York to Lake Erie

Arts, Sciences, Literature and Philosophy

• 1825 in literature:

Births

• January 25 - George Pickett, Confederate general (+ 1876)
• May 4 -Sir Thomas Henry Huxley, English biologist
• October 25 - Johann Strauss II, composer
• November 9 - A.P. Hill, Confederate general (+ 1865)

Deaths

• Henri Boulard[?], literary figure
• May 7 - Antonio Salieri, composer
• May 19 - Comte, founder of French socialism