The Washington-based think tank, in a statement, said it analysed eight million tweets that made reference to the pope.
Most were neutral in tone, it said, but of those with "a discernable tone," 84 per cent were positive and only 16 per cent were negative.
That stood in stark contrast to his predecessor Pope Benedict XVI, for whom Twitter comments with a tone were 30 percent positive but 70 per cent negative, Pew said.
The most-followed Twitter user, pop idol Katy Perry, boasts more than 51 million followers.
Using two different software platforms, Pew also determined that Pope Francis got nearly 50,000 media mentions across the 25 most-visited US digital media sources from his election through the end of January 2014, putting him on par with other major world leaders.
The biggest spike in media attention came in July 2013 when he stated "who am I to judge" if someone is gay -- a remark seen by some as a possible softening of the Vatican's hard line against same-sex marriage.
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