Lvovich is a Slavic patronymic, meaning "son of Lev". The feminine equivalent is Lvovna. Notable people with the name include:
Alexander Lvovich Kazembek (1902–1977), Russian émigré and political activist
Alexander Lvovich Naryshkin (1760–1826), nobility marshal of Saint-Petersburg from 1718 to 1726
Anatoli Lvovich Kaplan (1902–1980), Russian painter, sculptor and printmaker of Jewish origins
Caesar Lvovich Kunikov (1909–1943), officer in the Soviet Army
Lev Lvovich Kamenev (1834–1886), Russian landscape painter
Lev Lvovich Tolstoy (1869–1945), son of Leo Tolstoy and a Russian writer himself
Vasili Lvovich Velichko (1860–1903), Russian nationalist, journalist, and editor of the Armenophobe Kavkaz gazette
Viktor Lvovich Korchnoi (1931–), Soviet-born Swiss chess grandmaster, challenger for World Chess Championship
Yakov Lvovich Alpert (1911–2010), Soviet-born American physicist
Yuri Lvovich Averbakh (1922– ) Soviet born; the world's oldest living chess grandmaster