Of the 672 confirmed cases, 441 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 53% of beds and 77% of ventilators are available.
On June 4, the county reported 660 cases and two additional deaths, a man in his 70s and a man in his 80s.
Here is an update on the cities of residence of confirmed cases, according to the WCCHD.
- Austin: 38
- Cedar Park: 49
- Georgetown: 90
- Hutto: 45
- Leander: 48
- Round Rock: 319
- Other: 83
Officials said the county is not legally able to release the specific counts in cities with fewer than 20,000 residents. For more information, such as gender and age breakdowns, visit the county’s dashboard.