The music producer, 35, said that he received death threats from fans of the band after recording a cover version of their 1987 tune Stop Me If You Think You've Heard This One Before with singer Daniel Merriweather.
But he added that he didn't mind the threats – provided they weren’t carried out – because they showed how passionate Smiths fans are.
Ronson told NME Radio: 'People took umbrage with the fact that I was taking these sacred cows of indie music and doing my own versions of them.
'If Morrissey and Johnny Marr give their consent, I can't be worried about what some 16-year-old in his bedroom thinks.'
He added: 'But I do like the fact that a 16-year-old cares enough to send me a MySpace death threat – as long as he doesn't follow through on it.'