Several airlines from those countries earlier announced they would no longer fly to Qatar.
“Qatar Airways has suspended all flights to the Kingdom of Saudi Arabia” until 1159 GMT the same day, a statement from the airline said.
A spokeswoman said it was unclear if the suspension would be extended.
Qatar Airways flies to nine cities in Saudi Arabia.
It was not immediately clear if Qatar Airways would also suspend flights to other countries.
Saudi Arabia has also closed its border with Qatar.