Former Florida Gov. Jeb Bush and real estate mogul Donald Trump lead the GOP presidential candidates in a new CNN/ORC poll released Wednesday, but the poll shows they both still lag behind former Secretary of State Hillary Rodham Clinton, a Democrat.

The national poll finds Mr. Bush at 19 percent, up from 13 percent in May, and Mr. Trump at 12 percent, up from 3 percent, CNN said. Both men jumped into the presidential race in mid-June.

After Mr. Bush and Mr. Trump, the poll found former Arkansas Gov. Mike Huckabee at 8 percent; neurosurgeon Ben Carson at 7 percent; Kentucky Sen. Rand Paul at 7 percent; and Florida Sen. Marco Rubio and Wisconsin Gov. Scott Walker both at 6 percent; and former Texas Gov. Rick Perry at 4 percent.

The poll found New Jersey Gov. Chris Christie at 3 percent, but it was conducted June 26-28, before he launched his presidential campaign on Monday, CNN said.

Texas Sen. Ted Cruz and former Pennsylvania Sen. Rick Santorum also came in at 3 percent, followed by Louisiana Gov. Bobby Jindal and Ohio Gov. John Kasich at 2 percent; and former CEO of Hewlett-Packard Carly Fiorina and South Carolina Sen. Lindsey Graham at 1 percent.

On the Democratic side, Mrs. Clinton took 57 percent, followed by: Vice President Joseph R. Biden at 16 percent; Vermont Sen. Bernie Sanders at 14 percent; former Virginia Sen. Jim Webb at 2 percent; and former Maryland Gov. Martin O’Malley at 1 percent.

The poll was done by interviewing 1,017 adult Americans by telephone. The margin of sampling error is plus or minus 3 percentage points.

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