Genrikh is a masculine Russian given name derived from the Germanic name Heinrich. Notable people with the name include:
Genrikh Yagoda (1891–1938), head of NKVD
Genrikh Sretenski (born 1962), Russian ice dancer
Genrikh Gasparyan (1910–1995), Armenian chess player, composer and writer
Genrikh Sapgir (1928–1999), Russian poet and fiction writer
Genrikh Borovik (born 1929), Russian publicist, writer, playwright and filmmaker, the father of journalist Artyom Borovik
Genrikh Lyushkov (1900–1945), officer in the Soviet secret police and its highest-ranking defector
Genrich Altshuller (1926–1998), Soviet engineer, inventor and scientist, journalist and writer
Genrikh Sidorenkov (1931–1990), Russian ice hockey player
Genrikh Fedosov (1932–2005), Soviet football player
