The survey of probable voters show Trump leading Clinton 42 percent to 39 in Florida and 43-41 percent in Pennsylvania, almost the reverse of the June 21 results.
A Quinnipiac poll from June, before the Federal Bureau of Investigation and Justice Department said they would not charge Clinton for using a private server for her State Department email, had her ahead 47 percent to 39 percent.
The Quinnipiac poll indicated why that would be a fruitful tactic: In Florida and OH, just 37 percent said Clinton was the more honest and trustworthy candidate, and just 34 percent in Pennsylvania said the same.
In the two other swing states surveyed, OH and Pennsylvania, Clinton trailed in every race but one: a one-on-one matchup between Clinton and Trump in Ohio. Trump was behind Clinton in Pennsylvania in the June Quinnipiac poll, with 41 percent to Clinton's 42 percent.
There is also a clear racial and gender divide in the response to Trump in Florida.
Clinton said she had recently received a letter from a mother who said her adopted son had asked if Trump would send him back to Ethiopia. Clinton is seen as favorable by 35 percent while Trump is seen as favorable by 38 percent.
"A majority of OH voters, 53 - 44 percent, say the 'government has gone too far in assisting minority groups, '" Peter A. Brown, assistant director of the Quinnipiac Poll, said in a statement.
Much of the change in this poll stems from a steep drop in Clinton's support among non-whites in Florida compared with the last poll and a decline in support among men. Later Wednesday, she is scheduled to attend a fundraiser for her candidacy in north suburban Wilmette.
The poll showed that Clinton lost ground on nearly every measure since the last survey on June 21. Candidates typically benefit from modest bumps in their approval rating after conventions, suggesting that his advantage may yet widen-as it might after he announces his pick for vice president, expected this week.
As the campaigns have kicked off in Ohio, Clinton has held an organizational lead, hiring staff, planning visits and running advertisements ahead of Trump. White voters go Republican 51 - 33 percent, while non-white voters go Democratic 72 - 12 percent.