The author died Tuesday. He was 91.
"I never read Ray Bradbury, but encountering his quotes has made me feel as though I have," the 69-year-old tweeted.
He also posted one of Bradbury's quotes - "If you don't like what you're doing, then don't do it - Ray Bradbury."
Bradbury was one of the most celebrated writers in the US and his groundbreaking works include "Fahrenheit 451", "The Martian Chronicles", "The Illustrated Man", "Dandelion Wine", and "Something Wicked This Way Comes".
Other Bollywood celebrities who remembered the stalwart include filmmaker Sujoy Ghosh and composer Ehsaan Noorani.
"RIP Ray Bradbury in total respect," Ghosh tweeted.
Noorani: "RIP Ray Bradbury ... your books live on forever."