The 425-year-old printing and publishing business announced last month that it had entered into consultation over the jobs as it countered the globalisation of its markets.
However, the union has launched a campaign to resist the job losses, which include around 20 further jobs at the company's publishing arm.
Unite regional officer Steve Ireland claimed the move marked the "death knell of 425 years of printing at the press".
He said: "It's ironic that in a year that the University celebrates its 800th anniversary and the Press it's 425th, that many Cambridge families should have their lives devastated.
"Consultation and negotiating meetings with the management are now in process in an effort to stop the print management and the University from closing the print works."
The rally will be held on Saturday 14 February at 12 noon at the Guild Hall, Cambridge, and will be addressed by guest speakers and supporters.
Unite set to hold protest over proposed Cambridge University Press job cuts
Unite is to hold a rally to oppose plans to shed 133 jobs at Cambridge University Press's printing division, Cambridge Printing Services, it has been announced.
