The document states flogging will be replaced by imprisonment or fines.
It says this is an extension of human rights reforms brought by King Salman and his son, the country's de facto ruler Crown Prince Mohammed bin Salman.
The last time that flogging in Saudi Arabia hit the headlines was in 2015 when blogger Raif Badawi was subjected to the punishment in public, reportedly after being convicted of cybercrime and insulting Islam.
He had been due to receive 1,000 lashes in weekly beatings but global outrage and reports that he nearly died put a stop to that part of his sentence.
Campaigners say Saudi Arabia has one of the worst records for human rights in the world, with freedom of expression severely curtailed and critics of the government subject to what they say is arbitrary arrest.
As we reported, Saudi Arabia is seeking new markets for its cheap oil. In March, many countries reduced their oil purchases due to world market conditions and general lockdown, which led to a drop in global demand and an increase in transportation prices.
Large American, Chinese, Polish, Indian, Finnish and British refineries also cut Saudi oil imports in March-April.
According to estimates by the International Energy Agency, in the coming months, the global oil demand will fall by 20%, and the cost of transportation will continue to rise. And this means that the problems for world gas stations will not end at least until the end of spring.
This is very bad news for the Saudis. Since April, they plan to start up to full capacity and pump out a record 12.3 million barrels per day, filling the world markets with their oil. But how to do this when these same markets are closed?