WASHINGTON (Reuters) - Real estate magnate Donald Trump moved to the top of the 2016 Republican presidential field in a CNN poll released on Sunday, edging out rival Jeb Bush and gaining support from Republicans in the last month despite a series of controversial statements.

Trump was backed by 18 percent of Republicans in the CNN poll, which was conducted entirely after his July 18 criticism of Republican Senator John McCain's war record. His lead over Bush, a former Florida governor who was at 15 percent, was within the poll's margin of error.

"There is a movement going on. This is more than me," Trump said on CNN's "State of the Union," saying the poll results were not surprising. "People are tired of these incompetent politicians in Washington that can't get anything done."

Trump's support among Republicans increased 6 percentage points since late June despite a flood of rebukes after Trump said McCain, a former Navy pilot who was tortured during more than five years in captivity during the Vietnam War, was not a war hero because he was captured.

Trump and Bush were joined near the top of the pack by Wisconsin Governor Scott Walker, who had 10 percent support among the Republican and Republican-leaning independent registered voters who were surveyed in the CNN poll.

None of the other Republican candidates gained double-digit support. Sixteen Republicans are running for the party's presidential nomination in the November 2016 election.

The CNN poll was conducted July 22-25 among 1,017 adults. The margin of error was 3.5 percentage points among the registered voting sample of 419 Republicans and Republican-leaning independents.

Separately, two NBC News-Marist polls released on Sunday showed Trump doing well in a pair of states holding key early contests in the Republican nomination race.

In New Hampshire, Trump leads the Republican field with the support of 21 percent of potential primary voters, followed by Bush at 14 percent. In Iowa, Walker leads the Republican field at 19 percent among potential Republican caucus participants, with Trump in second place at 17 percent.

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Trump has been criticized by fellow Republican candidates and party leaders for making incendiary comments about Mexican immigrants, belittling McCain's war record and for his personal attacks against rival Republican White House contenders such as Senator Lindsey Graham and former Texas Governor Rick Perry.

Trump gave out Graham's private cell phone number at a rally last week.

"I don't think Mr. Trump is qualified to be commander-in-chief, I think he is bankrupt when it comes to all the qualities you need to lead the men and women in uniform and to lead a great nation," Graham said on ABC's "This Week."

Perry, appearing on CNN, said Trump's candidacy "is not necessarily moving the cause of conservatism forward."

(Writing by John Whitesides; Additional reporting by Alina Selyukh and Will Dunham; Editing by Ros Russell and Cynthia Osterman)