The resolution to file suit originated with Cabarrus County Commissioner Coy Privette. Alamance County has also joined the lawsuit.
It will be brought against N.C. Department of Revenue Secretary Norris Tolson and will be filed next week.
Easley announced plans Feb. 5 to withhold about $200 million from municipal governments to help alleviate a $1 billion state budget shortfall for the 2001-02 fiscal year.
The governor's office would not comment on pending litigation.
Privette said he introduced the resolution because Easley illegally impounded local tax revenue to fix the state's financial problem.
"It's our opinion that one person does not have the statutory authority to unbalance the budget of 100 counties and 641 towns and cities," he said.
He added that Tolson is implicated because he failed to uphold the mission of his office.
"The laws of North Carolina state very clearly and specifically that the secretary of the Department of Revenue ... shall remit to local governments that (which) belongs to them," Privette said.
The lawsuit is open to any county that wants to join, said Gene Boyce, the case's lead attorney. "We will proceed on behalf of whoever wants to go," Boyce said.