Beshear is encouraging all golf courses to restrict the use of golf carts, requiring all players to walk the course.
Prime Minister Boris Johnson announced on Friday that all pubs, cafes, bars and restaurants - along with gyms and leisure centres - should close to combat the spread of the disease, although made no direct request for golf courses to shut.
"The government has identified an urgent need to introduce new restrictions on public life and on non-essential businesses opening their doors".
Although golf may act as a positive during this challenging period in life, there is concern that keeping the courses open will only increase the risk that the outbreak will spread more quickly.
"The health and wellbeing of the nation is the only consideration that matters at this moment in our history".
'These are incredibly testing times for the country.
"We will continue to signpost clubs and counties to the latest government advice and schemes created to help the economy cope with the disruption caused by coronavirus".
'With this in mind, Scottish Golf asks that all golfers in Scotland refrain from golfing until further notice.
'We know that these decisions are hard ones to make, but right now, it is our shared responsibility to prioritise the health of our local communities by working together to follow the government guidelines.
Wales Golf tweeted: 'Following the P.M.'s statement it is clear that golf clubs, courses & facilities must close with immediate effect.
Do you think golf courses should stay open?
In a press conference Saturday night, Governor Beshear addressed golf courses and how we can maintain a healthy environment.