The R-rated, BDSM-themed movie is based on the first novel in E.L. James' best-selling erotic trilogy. Fifty Shades of Grey marks Griffith's daughter's major big screen debut and features scenes in which she appears naked and takes part in questionable sexual activities.
Griffith, 58, told E! News' Zuri Hall she has seen "a little bit" of the film, adding, "I just can't quite bring myself to watch the love scenes." She made her comments at the Stella McCartney autumn 2016 presentation in Hollywood on Tuesday.
Johnson, 26, appears next in the new comedy How to Be Single, which is set for release just before Valentine's Day.
"I'm going to see that one," Griffith said.
Universal Pictures and Focus Features
"Would you want to see your child having sex like that? Just regular sex, I couldn't do that. But the 'room of pain' sex? I definitely couldn't do that!" she told reporters at Clive Davis' 2015 Grammys party.
Meanwhile, Fifty Shades of Grey has been nominated for six Razzies, which include Worst Actress and Worst Actor nods for Johnson and co-star Jamie Dornan, at the annual Golden Raspberry Awards, which honor the worst in film.
Griffith had said at the 2015 Oscars that Johnson is "a really good actress" and that she does not need to watch Fifty Shades of Grey to "know how good she is."
Johnson and Dornan, 33, will reprise their roles as Anastasia Steele and Christian Grey in the sequel, Fifty Shades Darker, which is set for release in 2017.