Kivirähk is an Estonian surname meaning "stone scree"; a compound of kivi (stone) and rähk (scree, sharp-edged fragments of stone).

People bearing the surname Kivirähk include:

(1903–1942), Estonian museum director and educator Andrus Kivirähk (born 1970), Estonian writer, playwright, screenwriter, and satirist Ingrid Kivirähk (1931–2024), Estonian actress and puppeteer Juhan Kivirähk (born 1957), Estonian sociologist Kaarin Kivirähk (born 1993), Estonian cultural theorist, art critic, curator and journalist