The so-called Rim Fire, which by Saturday had covered more than 125,000 acres, remained largely unchecked, with extreme terrain hampering efforts at containment.
The fire had burned about 12000 acres in the northwest corner of the park by Saturday, said park spokesman Scott Gediman. It was consuming brush, oaks and pines and threatened some giant sequoia trees.
"We're working very closely with the fire team, but we're not looking at any further closures," he said. "Things are - knock on wood - looking good."
The latest sections of gthe park to close are Tuolumne Grove and Merced Grove. Officials said they have no plans to shut down the whole park or its attractions.
Daniel Berlant, a spokesman for the California Department of Forestry and Fire Protection, said fire crews were making progress but the steep terrain in the area "definitely has posed a major challenge."
The fire has threatened power and water supplies to San Francisco, about 200 miles to the west.
California Governor Jerry Brown has declared a state of emergency for San Francisco, saying the fire had damaged some power lines and and forced the closure of others.
The Hetch Hetchy Reservoir in the fire area provides water to 2.6 million people in San Francisco. It is feared supplies could be affected
About 2700 firefighters were on the front lines at the weekend. The fire started on August 17 in the Stanislaus National Forest.