Busch Gardens Williamsburg is one of three SeaWorld-owned parks that remain closed.
Two Epcot area resorts are now set to remain closed until further notice.
The new policy also bans face coverings with mesh material, which have become a favorite of anti-maskers.
Disneyland's theme parks have been closed since mid-March with no reopening in sight.
“I know this news is disappointing especially because this year we would be celebrating HHN’s 30th anniversary,” said Universal Orlando Resort president Bill Davis.
“You may remove your face covering while actively eating or drinking, but you should be stationary and maintain appropriate physical distancing," Disney's updated policy states.
Monday’s 7-0 vote in favor of the project means the plan will now be considered by the Anaheim City Council.
Disney has announced that Rivers of Light, Primeval Whirl and Stitch's Great Escape are now permanently closed.