By Bryan Smith on February 29, 2016 at 7:23pm
On the PlayStation Support page, Sony has confirmed that the PSP store will be shutting down on March 31, 2016.
On March 31, 2016, the PlayStation®Store for PlayStation®Portable (PSP®) system in the SCEA region will be closed. PSP system users will be able to purchase PSP content from the web-based PlayStation Store at store.playstation.com, and also access past purchases from the Download list on their PSP system. Users will continue to have the ability to make in-game purchases from their PSP system.
Select PSP games are also available for purchase on the PlayStation®Store for PlayStation®Vita system users.
While the PSP's store will be shut down, the online PlayStation Store will let you buy and download content to the PSP so games/DLC aren't locked away forever.
PlayStation Support