Veach is a surname. Notable people with the surname include:
Al Veach (1909–1990), American baseball player
Bobby Veach (1888–1945), American baseball player
Charles L. Veach (1944–1995), United States Air Force officer and astronaut
Lynn Veach Sadler, American poet, writer and playwright
Matt Veach (born 1981), American mixed martial artist
Peek-A-Boo Veach (1862–1937), American baseball player
Zach Veach (born 1994), American racing driver
