usuialy that means inside of the little stick piece, there is a piece of somthing like a chunk of food, pushing a sensor making it think it is suppost to move. There are 3 things you can do.
1 Buy a new analog stick piece from some online store.
2 Try to open up the piece to clean it out. "you might find some wierd things in there"
3 Just leave it.

Hope this helps.

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my psp pulls to the left just after switching on (or resuming) for me if i spin the analog stick in a circle it re-set the sensitivity and ignores the left turning until i press it left.
p.s. back on topic try taking you analog stick out and squirt some wd-40 in to the analog stick rotate it a few times and dry it off and re-try it in your psp, that worked for my x-box controller

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This happened to me once.

Your sensor could be faulty. If water or some kind of liquid managed to get into the analog pad, that could be your problem. The sensors might be damaged.

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Heh, weird. I actually had a problem with the left arrow on the D-pad getting stuck a while back. It just went away on its own after an hour or so.

Thanks for the help guys, I had to take the analouge sencor out of one of my other PSP's.
I really only use my PSP for PS1 emulation nowadays =]

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One of your other PSP's? How many do you have?

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I have 3. One dosent play games though, and is in bits. I got my latest one from my sister, I swapped. Her PSP for my terrys chocolate orange. Yeah, she dosent like PSP that much...

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Wow three PSPs that's awesome.

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I've only got one, and it's got the flying disc problem...

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