The 33-year-old rapper, who made her film debut with 2014's "The Other Woman", is a huge fan of the "Ricki and the Flash" star and wants to do variety of roles, reported Female First.
"I want to do something very serious. Meryl Streep is one of my favourite artists of all time. She blows me away in just about everything she does.
"I love how she can go from 'The Devil Wears Prada' to 'The Iron Lady', she's so incredible in that. My dream would be to have that type of acting career, where I can do both things believably," Minaj said.
"I am maybe too involved. Two days ago I was in casting. I'm going back tomorrow. I found one girl who I'm obsessed with who might play me, and someone who could rival her.
"So I've been coaching them both. I do a beat, let them rap. I do little dances with them. It has been magical. I didn't even know I had it in me, but I love children so much," she said.