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Bach is a surname of German-language origin. Notable people with the surname include:

The family of Johann Sebastian Bach

• Johann Sebastian Bach ("JSB", 1685–1750), composer and organist, the most well-known of the Bachs
• Wilhelm Friedemann Bach (1710–1784), composer and organist, son of JSB
• Carl Philipp Emanuel Bach (1714–1788), composer, harpsichordist and pianist, son of JSB
• Johann Aegidius Bach (1645–1716), organist and conductor, uncle of JSB
• Johann Ambrosius Bach (1645–1695), violinist and trumpeter, father of JSB
• Johann Bernhard Bach (1676–1749) composer, harpsichordist and organist, cousin of JSB
• Johann Christoph Friedrich Bach (1732–1795), composer, son of JSB
• Johann Christian Bach (1735–1782), composer, son of JSB
• Johann Christoph Bach (1642–1703), composer and organist, great-uncle of JSB
• Johann Gottfried Bernhard Bach (1715–1739), organist, son of JSB
• Johann Ludwig Bach (1677–1731), composer and violinist, second cousin of JSB
• Johann Michael Bach (1648–1694), composer and organist, great-uncle and father-in-law of JSB
• Johann Michael Bach III (1745–1820), composer and lawyer, nephew of JSB
• Johann Sebastian Bach (painter) (1748–1778), painter, grandson of JSB

Others

• Baron Alexander von Bach (1813–1893), Austrian politician and statesman
• Barbara Bach (born 1947), American actress
• Bela Bach (born 1990), German politician
• Børge Bach (1945-2016), Danish footballer
• Catherine Bach (born 1954), American actress
• Claus-Peter Bach, German rugby union official
• Dirk Bach (1961–2012), German actor
• Edward Bach (1886–1936), British medical doctor known for his work in alternative medicine
• Emmanuelle Bach (born 1968), French film and television actress
• Emmon Bach (1929–2014), American linguist
• Ernst Bach (1876-1929), German comedy writer
• Franciscus Hermanus Bach (1865–1956), Dutch painter
• Fritz Bach (1934–2011), Austrian-born American transplant physician and immunobiologist
• Jan Bach (1937-2020), American composer
• Jean Bach (1918–2013), American film director
• John Bach (born 1946), New Zealand actor
• Kent Bach (born 1943), American philosopher
• Kristina Bach (born 1962), German singer
• Mechthild Bach (1949-2011), German soprano
• Nenad Bach (born 1954), Croatian American recording artist, composer, performer, producer and peace activist
• Ole Christian Bach (1957–2005), Norwegian financier
• Pamela Bach (born 1963), American actress
• Paul Bach (1938–2011), English journalist and editor
• Pierre-Antoine-Jean Bach (1932–2020), French-born Laotian Roman Catholic prelate
• Rasmus Bach (born 1995), Danish basketball player
• Richard Bach (born 1936), American novelist
• Sebastian Bach (born 1968), Canadian former lead singer of Skid Row, and later performer on Broadway
• Sheldon Bach (1925-2021), American psychologist
• Tamara Bach (born 1976), German youth book author
• Thomas Bach (born 1953), German sports official and president of the International Olympic Committee (IOC)
• Vincent Bach (1890–1976), Austro-American cornet and trumpet player and manufacturer
• Vivi Bach (1939–2013), Danish actress and singer