Depp, who lost a libel case last year over an article that called him a "wife beater", will be feted at the Karlovy Vary Film Festival later this month.
The US actor and director is also due to receive the San Sebastian Film Festival's Donostia award in September.
The Women's Aid Federation said this was disrespectful to abuse survivors.
Solace Women's Aid, another charity that is one of its member organisations, said such awards were "misleading" and "insulting".
