Of the 660 confirmed cases, 438 have recovered, the report said.
Currently, eight patients are hospitalized, four are in intensive care, and three are on a ventilator, it said.
The WCCHD also reported that 52% of beds and 72% of ventilators are available.
On June 3, the county reported 649 cases.
The county also reported its 26th and 27th deaths, a man in his 70s and a man in his 80s.
"In the midst of this pandemic and social crisis, we unfortunately also continue to deal with loss of life as a result of COVID-19. Let’s do our part as a community to lift others up that may be hurting and support families affected by this disease," Williamson County Judge Bill Gravell said in the release.
Here is an update on the cities of residence of confirmed cases, according to the WCCHD.
- Austin: 38
- Cedar Park: 47
- Georgetown: 89
- Hutto: 44
- Leander: 47
- Round Rock: 313
- Other: 82