The problem is with faulty modems, which means that people could receive a shock when making a phone call and using the Vaio at the same time.
Most of the laptops affected by the technical glitch are in Japan, with a further 3,000 in the US and 2,000 in Europe.
Sony estimates the recall will cost $4.2m, (£2.8m), although analysts said it is not serious enough to harm the company's image.
The Japanese company is the the world's sixth-largest seller of personal computers.
In the past year, it has sold more than 3.1 million Vaio laptops across the world.