Have you had a software upgrade? I had exactly the same problem with a brand new 3rd gen iTouch and it turned out to be a problem with the itouch and the wifi encryption. Mine showed it was connected to the network but wouldn't access anything (invalid argument etc). I tried everything but no joy. Eventually I fixed it by changing the router's encryption from WEP to WPA2-PSK. Fixed it like magic. Where there had been no router or DNA data before, they were suddenly filled in. The key was different but was still on the bottom of the router. I had to re-enter the key on my wireless laptop but that was a small price.
You can get into the router set-up page through your web browser. I found a guide on You Tube.
Good luck!
Do the followings
settings>>wifi>>you will see a blue arrow button next to the connection press that.
if you see the 1st 4 lines full with some number and writings then it is ok or else scroll down and press renew lease or/and try to connect using another network.
let me know the results
i have another one solved like this check
http://www.fixya.com/support/t4259513-itouch_wont_let_me_connect_internet
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