“The dream became a reality,” the woman, Ahlam al-Thunayan, wrote, thanking both King Salman and Prince Mohammed.
The announcement said 2,000 more Saudi women could receive their licenses next week, but it provided no details about who they were or where the licenses would be issued.
Allowing women to drive is a major social change in Saudi Arabia, where women have long been kept out of public life and limited to certain professions. This has begun to change in recent years, with more young Saudi women than men graduating from universities and many women working in fields that they used to be locked out of.
Being able to drive could accelerate this process, making it easier for women to get themselves to and from work without having to pay for taxis or the foreign drivers who now shuttle them around.
But parts of Saudi society remain deeply conservative, and some men could prevent their female relatives from driving, despite the lack of a legal means to do so.
The recent arrests singled out a number of men and women who had been involved in challenging the driving ban, including some who drove around Riyadh, the capital, to publicly protest it in 1990.