They cite an Associated Press report last month that found only 1,700 jobs have been created in the three years since voters approved Proposition 39 after voters were told it would create 11,000 jobs annually.
The measure closed a corporate tax loophole to promote clean-energy jobs.
The AP reported that more than half the money given to schools so far has gone to planning, consultants and energy audits.
Seventeen Assembly Republicans signed a letter released Monday seeking the audit.
Senate President Pro Tem Kevin de Leon, the state Energy Commission and billionaire proponent Tom Steyer say the program is on track.
De Leon previously rejected calls for a legislative hearing.