Kivi is an Estonian and Finnish surname meaning "stone" in both languages. Notable people with the surname include:

Aleksis Kivi (1834–1872), Finnish author Antero Kivi (1904–1981), Finnish discus thrower Eve Kivi (born 1938), Estonian actress Iikka Kivi (born 1986), Finnish stand-up comedian and scriptwriter Juha Kivi (born 1964), Finnish long jumper Katrin Kivi (born 1967), Estonian diplomat Karri Kivi (born 1970), Finnish ice hockey player and coach Maarja Kivi (born 1986), Estonian musician, also known as Marya Roxx Signe Kivi (born 1957), Estonian textile artist and politician

As a first name Kivi Larmola (born 1966), Finnish comics artist