Even though, iOS beta released by Apple, jailbreaking isn’t number one in users agenda.But Thanks to the iPhone Dev team, those having just updated to iOS 6 beta 3 can jailbreak their devices using just released version of Redsnow.
This version of jailbreak follows the same sequence as those of the first two betas, in that it is tethered boot only and limited to A4 devices namely iPhone 4, iPhone 3GS and iPod touch 4G.The only problem is that, if you let your device turned off then you have to connect your device to PC or Mac, run the shole process again to turn your device on again.
This Jailbreak contains the same old steps to jailbreak your device, install cydia using redsnow, then using cydia jailbreak your device.
The complete tutorial is given in the link Sourec: Redmondpie