Zvonař is a Czech surname. Notable people with the surname include:
Josef Leopold Zvonař (1824–1865), Czech composer, pedagogue, and music critic Karel Zvonař (1912–1994), Czech wrestler Milos Zvonar (born 1937), Czech-Dutch anesthetist and politician
See also Ján Zvonár (1951–2023), Slovak physician and politician Zvonar, a name of central European origin including a list of notable people