Apple released iOS 6.1 Beta 1 to developers and good news is that you can jailbreak iOS 6.1 Beta using Redsn0w easily. The process of jailbreak is similar to that of Jailbreak iOS 6.0.1 .
Jailbreak is compatible with iPhone 4, iPhone 3GS and iPod Touch 4G and has no support for iPad Mini, iPad 4, iPad 3, iPad 2, iPhone 5, iPhone 4S, and iPod Touch 5G.
Jailbreak iOS 6.1 Beta
Download Redsn0w 0.9.15b3 and launch it. Click on “Extras” button.
Click on “Select IPSW” button. Navigate and select the iOS 6.0 firmware file.
From the main page of Redsn0w and click on “Jailbreak” button and follow on-screen instructions.
Select “Cydia” and click on “Next” button to continue with jailbreak process.
Once your device is jailbroken it will enter reboot again.
Device is jailbroken on iOS 6.1 Beta.