Once you are done with the jailbreak, you can now unlock your iPhone running jailbroken firmware 3.1.3 by using blacksn0w from Cydia. To do this:
- Start “Cydia” on your iPhone.
- Touch on “Manage” tab on the bottom.
- Now touch on “Sources” as seen in the screenshot below:

- Touch on “Edit” and then on “Add”. You will be prompted to enter a url source as seen in the screenshot below. Type “http://blackra1n.com” and touch on “Add Source”.

Cydia will now automatically update your sources by following a series of automated steps.
- After installation is completed. Search for “blacksn0w” in Cydia and install thisapplication. This app will automatically unlock your iPhone so that you can use it with any carrier.

Step 3: Now simply restart your iPhone. Voila! You are now running a fully unlocked and jailbroken iPhone on firmware 3.1.3 on your iPhone 3G or 3GS.
UPDATE 1: A working exploit for iPhone 3.1.3 05.12.01 Baseband has been found. More info here.












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[...] 3. Unlock iPhone 3.1.3 using blackshn0w. [...]