After Apple released iOS 7.1 for the general public immediately Evad3rS announced that iOS 7.1 jailbreak by Evasion Untethered but Yesterday Pangu team who had already released jailbreak for iOS 7.1.1, Please decide what you will do.
How to jailbreak iOS 7.1.x with Pangu for Windows
Step 1: Download the latest version of Pangu from our downloads page
Step 2: Plug your iOS 7.1.x device into your computer’s USB port
Step 3: Run Pangu_v1.0.exe on your Windows machine. If you see weird characters, it may be due to Windows not displaying the Chinese character-set correctly. Simply follow along in our video above to see what we mean.
Step 4: Make sure the checkbox is unchecked, and click the Start Jailbreak button.
Step 5: Pangu will ask you to go to Settings > General > Date & Time and disable the Set Automatically toggle. You will then need to set the date to June 2, 2014.
Step 6: The jailbreak process will start. Eventually you will see the Pangu app icon on the Home screen. Tap the Pangu icon to launch the Pangu app.
Step 7: Wait patiently, and the jailbreak will process. The video tutorial is sped up, the whole process takes about 10-15 minutes, so be patient.
Step 8: Once the jailbreak is completed, you should see a “enjoy your new jailbreak message”. Unlock your device, and you should see Cydia on the Home screen.
Congratulations. You now have an untethered jailbreak on iOS 7.1.x. Pangu should automatically set your date setting in Settings > General > Date & Time back to Set Automatically.