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.
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.
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