The four-year-old female arrived in the Park from the Dinokeng Game Reserve in Gauteng in July and has been in a boma since.
The introduction of the cheetah is part of the Endangered Wildlife Trust's Cheetah Metapopulation Project which was established in 2011 to provide a co-ordinated approach for the management of about 300 cheetah in over 50 reserves across the country.
Project co-ordinator, Vincent van der Merwe, said a managed population is a set of geographically isolated populations of the same species that exchange individuals through human-controlled movement.
"Over the past eight years, Mountain Zebra National Park has been the biggest contributor to the country's metapopulation, making 24 of their cheetah available. During this time, park management has only requested two cheetah from the project in order to alleviate genetic concerns," said van der Merwe.