This compares to 741 on Thursday, 612 on Friday and 632 on Saturday.
"On a positive note it appears that Kentuckians have stopped the exponential growth of the virus," Gov. Beshear said. "Team Kentucky has again shown that if we socially distance, wear masks and wash our hands, we have a better chance of continuing to reopen our economy safely and get more Kentuckians back to school and work."
Beshear said there were at least 39,315 coronavirus cases in Kentucky.
Beshear reported three new deaths Sunday, raising the total to 813 Kentuckians lost to the virus.
The deaths reported Sunday were women: a 67-year-old from Fayette County, a 73-year-old from Perry County and a 91-year-old from Franklin County.
Due to limited reporting on Sundays, some statistics are unavailable until Monday.
"In Kentucky, the mortality rate is 2.1% compared to 3.2% nationally," said Dr. Steven Stack, commissioner of the Department for Public Health. "This success is a combination of accomplishments including keeping COVID-19 from spreading out of control, excellent health care and more widespread testing than many other states."