WASHINGTON  Tens of thousands of union members, environmentalists and peace activists rallied at the Lincoln Memorial on Saturday, seeking to carry on the message of jobs and justice that the Rev. Dr. Martin Luther King Jr. trumpeted at a rally at the same site 47 years ago.

More than 300 groups organized Saturday’s march to build momentum for progressive causes like increased job-creation programs and to mobilize liberal voters to flock to the polls next month.

The rally’s sponsors, including the N.A.A.C.P., the A.F.L.-C.I.O., the Sierra Club and the National Council of La Raza, said they also hoped to demonstrate that they, not the Tea Party, represented the nation’s majority.

Organizers called the march “One Nation Working Together,” saying they hoped it would be an answer and antidote to what they called the divisiveness of the Tea Party.