Hillary Clinton, Oct. 3, 2015
Democratic U.S. presidential candidate Hillary Clinton points as she takes the stage before speaking to supporters at a Human Rights Campaign breakfast in Washington Oct. 3, 2015. Joshua Roberts/Reuters

(Reuters) -- Democratic U.S. presidential front-runner Hillary Clinton, who has been vying with challenger Bernie Sanders for the support of organized labor, scored a win Saturday with an endorsement by the National Education Association, a huge teachers union. The move makes the NEA, the largest U.S. labor union with 3 million members, the latest in a string of such organizations to support the former secretary of state, including the American Federation of Teachers and the Machinists union.

Clinton's lead in opinion polls has been narrowing against Sanders, a U.S. senator from Vermont who has rallied progressives with his pledges to tackle income inequality and rein in Wall Street.

NEA President Lily Eskelsen Garcia praised Clinton as a strong leader who would work for students, teachers and families "because she understands the road to a stronger U.S. economy starts in America's public schools."

Clinton issued a statement saying she was honored to get the NEA endorsement. "I've stood with educators throughout my career," she said. "As president, I will fight to defend workers' right to organize and unions' right to bargain collectively, and I will ensure that teachers always have a voice and a seat at the table in making decisions that impact their work."

Clinton is trying to win over labor -- often a key source of volunteers and funds for Democrats -- in the effort to build a broad coalition within her party and avoid a potentially damaging, drawn-out primary fight. The winner of the primary contest will face the Republican nominee in the November 2016 general election.

Clinton's campaign has struggled recently after a steady stream of news about her use of a private email server and email address while secretary of state.

A rolling five-day poll by Reuters/Ipsos dated Sept. 29 found Clinton's support within her party at 44 percent, compared with 28 percent for Sanders. As recently as August, she had 56 percent support for the party's nomination.

Labor leaders around the country are pressing Clinton on issues ranging from the minimum wage to international trade. One flashpoint is the Trans-Pacific Partnership, a proposed free-trade agreement backed by President Barack Obama but opposed by unions, which see it as bad for U.S. jobs and wages.

Clinton has remained neutral on the deal, saying a final agreement must protect American workers.

She was secretary of state during Obama's first term and was part of the administration's push to strengthen ties with Asia.

(Reporting by Luciana Lopez in New York; Editing by Bill Trott and Eric Beech)