Looks like the feeling is mutual!
And now, the 16-year-old actress is echoing the same sentiments about Moore.
"She is probably my favorite, I mean, I learned so much from her," Moretz told E! News. "She has everything. "
Moretz praised Moore for teaching her how to behave on set and how to "have a long lasting career."
"She has everything you want, she's beautiful, she's smart, she's funny, I mean it's like why can't we all be Julianne Moore?" she added.
And what did Moore say about Moretz?
Eric Charbonneau/ Invision for Screen Gems/AP Images
"She's so delightful," Moore said, who plays Moretz's demented mother in the horror flick.
"I mean, she was 15 when we shot this and she's very professional, really talented, very engaging and wants to do well and great work," Moore continued. "I love her. I loved being with her. She was a great partner and I wanted to make sure that she felt safe with me and that anything could happen and that I was not going to hurt her and that we could kind of explore this relationship together."
Besides the lovefest about Moore, Moretz was asked if she thinks people view bullying differently since the novel was released in 1974.
"I think a lot about bullying used to be, stiff upper lip, move on, just deal with it kid," Moretz said. "And then now, it's way more serious. Now adults and people are actually looking into it."