Team evad3rs updated the evasi0n and added support to Jailbreak ios 7.0.5 with evasi0n 1.0.5 . Now you can perform a simple evasion jailbreak iOS 7.0.5 with ease. Remember this is the official evasion jailbreak tool for iOS 7.0.5 (not the Modified Evasi0n7 version)
Quick Facts to consider when you Jailbreak iOS 7.0.5
Jailbreak process of iOS 7.0.5 is same as previous versions. You just have to plug and follow the on-screen jailbreak walkthroughs.
iOS 7.0.5 jailbreak and evasion 1.0.5 download Credit goes to evasiondownload.us.