Zmitser () is a Belarusian version of personal name Demetrius or Russian Dmitri. Notable people with the surname include:
Zmitser Dashkevich (born 1981), Belarusian politician Źmicier Sidarovič (1965–2014), Belarusian musician, singer and piper Zmitser Zhylunovich (1887–1937), Belarusian poet, writer, and journalist