The 56-year-old star told Rolling Stone magazine: "I don't always agree with the things he says or does - I don't always like his music, even. But he's a beautiful mess.
I love him...I think he takes award shows too seriously... So that part of him I can't relate to. Like, what's the point of fighting for somebody to...like, 'This person should have got it?' Don't come to an award show looking for justice!"
Meanwhile, Madonna believes she has a lot in common with Taylor Swift and feels protective of the 25-year-old star.
She said: "She has an opinion, and she's going against the norm. So in that respect, she is similar to me, yeah. And also, people just want to give her a hard time all the time because they think she's a goody-two-shoes, so of course I want to embrace her.
- Bang! Showbiz