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The type of activity that could result in arrest would be if members of the group, say, purposefully try to stop traffic on Broadway, Mr. Browne said.

MoveOn.org is planning a “virtual march” on its website by encouraging people to post photos of themselves with the caption “I’m the 99 percent” — a reference to those people not among the wealthiest 1 percent of Americans and to the debate over whether they should be taxed more. The group’s executive director, Justin Ruben, called the protesters “brave young people” who have successfully inspired others to join them.

“From our perspective, we’re protesting kind of the greed that led to the collapse of our economy,” Mr. Ruben said. “The fact that these banks aren’t paying their fair share.”