The vote, which was carried out on all UC campuses between Aug. 26 and Wednesday, was organized by a coalition of unions protesting Yudof's budgetary policies.
The coalition represents more than 60,000 employees on campuses, medical and research facilities throughout the UC system.
About 10,000 people participated in the vote, according to Jelger Kalmign, a staff research assistant at the University of California at San Diego, who is president of the University Professional and Technical Employees Union.
Voters included faculty, custodians, nurses, lab technicians and clerical workers.
Yudof's budgetary plan calls for eliminating some classes, laying off workers and increasing class sizes, Kalmijn said.
Kalmijn admitted that the UC system is going through a difficult time because of state funding reductions, but he alleged that Yudof "is taking advantage of the crisis to try to change the nature of the university."
He said, "The university is becoming more profit-oriented and less oriented toward public service."
A spokesman for Yudof wasn't immediately available for comment.