: Ensure a Memory Stick Duo (minimum 64MB) is inserted. Option 1: Update via Internet
Since many modern routers no longer support PSP security protocols, manual updating is often more reliable. How To Update Your PSP TO 6.61 Official Firmware Psp 3000 Update
: Go to Settings > System Settings > System Information to see your current version. : Ensure a Memory Stick Duo (minimum 64MB) is inserted
: Connect your PSP to a power source or ensure the battery is charged to at least 100% to prevent a system "brick" during the process. : Connect your PSP to a power source
This is the simplest method if your PSP can still connect to modern Wi-Fi (note that the PSP only supports older 2.4GHz WPA/WEP security). Navigate to on the far left of the XMB menu. Select System Update at the top. Choose Update via Internet and select your connection.