Gadget News today about guide update jailbreak iPod touch  3.1.3 firmware from www.redmondpie.com. The following guide is strictly for iPod touch 1G and the older iPod touch 2G only.For iPod touch 2G and iPod touch 3G users should wait for the new tools before jailbreaking iPod touch devices.
Step 1: Update to original iPhone OS 3.1.3 firmware via iTunes. Downloading and installation instructions for iPhone 3.1.3 firmware can be found here.
Step 2: Start redsn0w 0.9.3 and point it to the original iPhone OS 3.1.2 firmware for iPod touch to proceed. This is required because redsn0w 0.9.3 can not read or validate iPhone OS 3.1.3 firmware.
Step 3: Now select both “Install Cydia” option.
Step 4: Now make sure your device is both OFF and PLUGGED IN to the computer before you click “Next”.
At this stage you will be presented with a screen where you will have to quickly hold “Power” button and then while holding the “Power” button, you will now have to hold “Home” button too. Now after few seconds release “Power” button but keep holding “Home” button until installation begins.
Step 5: Sit back and enjoy while redsn0w will do all the rest for you. Once done, your iPod touch 1G/2G will restart automatically and you will find it jailbroken on firmware version 3.1.3.