The former secretary of Homeland Security has only been on the job for six weeks. She made the proposal on Wednesday in her first address to the Board of Regents, saying she wants the tuition to be as low and predictable as possible.
If approved, the freeze would be for the 2014-2015 school year.
According to the San Jose Mercury News, the freeze is one of four points in a new agenda that includes making the university a zero-net energy consumer by 2025, simplifying transfers from community colleges and making it easier for products based on UC research to hit the market more quickly.
The Associated Press contributed to this report.