Barton criticised the Santos phenomenon for his performance during last night's friendly with England.
But Neymar shrugged off the on-loan Marseille player's comments, by claiming he had no idea who Barton is.
"I don't know who he is," Neymar is reported to have replied, when quizzed about Barton's scathing evaluation of his display.
"I just have to keep doing my job for the Seleção," he added, in a post-match interview.
"It did not go as I had expected or wanted. I would have liked to help the team more, but today was not my day. Next time."
Earlier in the evening, Barton posted on Twitter: "This fella Neymar is massively overrated. Not in the same street as Messi or Ronaldo."
"I would not pay the £ 40-50 million there [sic] asking for Neymar. Not a chance. #showpony"