Arregui is a surname. Notable people with the surname include:
- Adrián Arregui (born 1992), Argentine footballer
- Antonio Arregui Yarza (born 1939), Catholic Archbishop Emeritus of Guayaquil Ecuador
- Carolina Arregui (born 1965), Chilean television actress
- Celinda Arregui (1864-1941), Chilean feminist politician, writer, teacher, suffrage activist
- Felipe Arregui (born 1994), Argentine player
- Ignacio Eizaguirre Arregui (1920–2013), Spanish footballer
- Juan de Arregui (1656–1736), Spanish Franciscan priest and Roman Catholic Bishop of Buenos Aires
- Ricardo Arregui (born 1952), Spanish surgeon, frostbite specialist and former president of CAI Balonmano Aragón and Asobal Handball League