The service was shut down almost a month ago after a massive security breach.
Sony Computer Entertainment Inc spokesman Satoshi Fukuoka said the company also began on Sunday phased restoration of its Qriocity movie and music services.
Sony's PlayStation network is a system that links gamers worldwide in live play.
Sony shut it down on April 20 after discovering the security breach affecting more than 100 million online accounts.
News that makes sense
Your trusted source for staying up-to-date with the world around you. Get free daily news updates and analysis, straight to your inbox.
The network serves both the PlayStation video game machines and Sony's Qriocity movie and music services.
It is a system that also allows users to upgrade and download games and other content.
