Resident Evil: Afterlife 3D, starring Jovovich and Ali Larter, debuted at number one on the American film chart, with takings of $27.7 million (£18.5 million).
And Jovovich is now hoping movie bosses follow up on its success by agreeing to shoot a fifth film for the franchise.
In a post to fans on her Twitter.com page, she writes, "Thank you all so much for all your great comments on the film! I'm SO happy you all love it! Have fun watching RE4 this weekend! Let's do RE5 soon!"