"In recent months, we have been forced to make a number of necessary adjustments, and although today's decision is a difficult one, we believe that the steps we are taking now will enable us to come back with a better business," said Disneyland's CEO. Josh D'Amaro in a statement.
About two-thirds of those affected work part-time.
Millions of tourists visit Disneyland in Anaheim outside of Los Angeles every year, only Disney World in Florida has more visitors each year.
But the company's theme parks in Florida, Tokyo, Hong Kong, Shanghai and Paris have been able to reopen, albeit with restrictions, so the park in California is still closed due to state regulations.
There were plans to open Disneyland in July, but they had to be put on hold when the authorities pulled the brakes after an increase in new virus cases.
In California, more than 800,000 people have been confirmed infected with covid-19, which is more than in any other US state.