If a majority approves, a strike could start as early as the first week of March.
The building workers recently approved a strike, and several thousand workers attended a rally on Tuesday night.
The committee voted late Wednesday to ask the union's board to approve a strike authorization vote by its 120,000 members.
The membership of Equity, which represents some 45,000 actors and stage managers nationwide, voted overwhelmingly in early June to approve a strike.
The comments were the first time Mrs. Clinton has spoken publicly about the escalating violence in Syria since the Aug. 21 chemical weapons attack that prompted Mr. Obama to call on Congress to approve a strike.
[C1.] Pilots at Delta Vote to Authorize a Strike The nearly 6,000 pilots at Delta Air Lines, proving resistant to a second round of concessions, voted overwhelmingly to approve a strike should their contract be voided by an arbitration panel.
A strike authorization vote, even if set in motion by the board, faces a high hurdle: 75percentt of the voting members must approve a strike before the union can stop work.
Boeing Co.'s engineers and technical workers overwhelmingly rejected the company's contract offer and approved a strike authorization.
If workers approve a strike through an authorization vote, that doesn't necessarily mean a strike will happen.
Just last week, he also approved a strike on a Syrian air base in the aftermath of a chemical weapon attack on Syrian civilians that killed almost 100 people.
