Evasi0n has updated its popular jailbreak utility to Evasi0n7 1.0.6 to jailbreak iOS 7.0.6 untethered for users running the latest firmware on iPhone, iPad and iPod Touch.
Evasi0n7 1.0.6 supports iPhone 5s, iPhone 5c, iPhone 5, iPhone 4s, iPhone 4, iPad 2, iPad 3, iPad 4, iPad Air, iPad Mini, iPad, iPod Touch.
Also Read: iOS 7.0.6 IPSW Direct Download Links
Update your device to latest iOS 7.0.6 firmware using iTunes and not OTA.
Take a back up data of your iOS device before you start the jailbreak process.
Download Evasi0n7 1.0.6
Follow the steps on this post for iOS 7.0.6 Jailbreak, the procedure is the same.