Shevardnadze () is a Georgian surname, originally from the province of Guria. Notable people with the surname include:
Dimitri Shevardnadze (1885–1937), Georgian artist Eduard Shevardnadze (1928–2014), Soviet and Georgian politician, son of Dmitri's cousin Nanuli Shevardnadze (1929–2004), Soviet and Georgian journalist and activist, wife of Eduard from 1951 Sophie Shevardnadze (born 1978), Russian and Georgian journalist, granddaughter of Eduard