Do you have a Pandora Battery and a spare memory stick Pro Duo? If so, format your spare memory stick Pro Duo into magic memory stick. If you don't have a Pandora Battery, but do have a spare battery, you can convert that into a Pandora Battery if you are carefully skilled with tools. Easier way to convert into Pandora Battery without opening anything would be to use another PSP that already has custom firmware. You can then follow these instructions instead to soft-mod your battery.
Now I'm confused... Is this the newer 2000 with the so called non-hackable mother board? To ask"if I can have cfw stay on" means it could be a chickHEN hack...or poorly asked question of which I can't translate. If it's a newer one...oh dear. Anyway, if you wish not to spend money, there is a free (but more complicated for some) way to hack a psp. In my sig there is a guide that sends the psp into a temporarly hacked state, in which you can load the real CFW onto it. Read it a few times....if you can see anylinks and a pic below this post, go to my profile by clicking my name, and you shall see the guide.
my mistake, its a psp2006 with motherboard of TA-883v3. and what i mean is how can i keep the cfw on because every time i turn off my psp it goes back to ofw
Just put it into standby rather than power down. There is no permanent solution to the 88v3 and 3000 PSP, and the CFW is stored in the RAM which is deleted when you turn the power off.