The California Faculty Association said Friday that 54 percent of members who voted approved the furlough plan, which will force all faculty to accept a 10 percent pay cut over the coming academic year.
The faculty union also approved a vote of no confidence in Chancellor Charles Reed.
The chancellor has called for all of CSU's 47,000 employees to take furloughs two days a month as part of a plan to address a $584 million budget shortfall caused by a 20 percent reduction in state funding.
Earlier this week, a union representing 16,000 nonacademic employees also approved the furloughs.
Students will feel the budget impact when they return to school next month.