The American star told News Corp Australia that Blanchett is in a class alongside only Meryl Streep.
“There aren’t very many male or female actors in that stratosphere,” Damon said.
“It’s a very special thing to see. I remember being 27 years old and seeing it: she walked out after shooting something with us and (director) Anthony Minghella and I just looked at each other, shook our heads and went, ‘What the hell was that?’
“Now, she’s the same actress except with 16 more years of experience. Her range, which I didn’t see an end to back then, has only expanded. She’s a really special person.”