The actor has played Ron Weasley in all the movie adaptations of JK Rowling's novels from the first, Harry Potter and the Philosopher's Stone, in 2000.
Grint told The Observer: "You can spot it from 50 feet away, someone recognising you. And then you watch it build.
"I do miss it, sometimes, the invisibility. Being able to get round Tesco. Not meet anyone who wants to take a picture with you. It's manageable but it's just, like, constant."
Watch the Harry Potter and the Deathly Hallows: Part 1 recap video below:
Of being called 'Ron', Grint admitted: "I answer to it. I turn around to it in the street."
Potter producer David Heyman added of Grint: "Rupert wears his fame lightly, and is very laid-back. It's not like I'd say he's warm, exactly. He's just a good, decent person. Not unctuous. Not obsequious."
He added: "Dan [Radcliffe] over time became more confident, the quick-witted one, Rupert would never show off in any way."
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Watch the trailer for Harry Potter and the Deathly Hallows: Part 2 below: