Please visit this page from your iOS device to install
   the Jailbreak for your iOS 10.1 or 10.1.1 device
Full functional jailbreak is available for iOS 10.1.1 and iOS 10.1 versions. Also, it can use jailbreak alternative methods for this. use following methods to complete the jailbreak process.
01  Luca's Yalu Jailbreak - Yalu102 jailbreak installs full functional Cydia. 
03 Houdini Semi Jailbreak - You can install some system tweaks/apps using Houdini App manager.
Yalu102 Online Guide
Yalu102 Jailbreak with PC
Extra_recipe+yaluX tool
Note - The same tool and the same Yalu 102 guide can be used for iOS 10 to iOS 10.2 Jailbreak.

Yalu102 Online Guide

PC free online Yalu102 jailbreak solution is available to jailbreak iOS 10 to iOS 10.2 versions including iOS 10.1 & iOS 10.1.1 all the 64 bit device users. But iPhone 7 and iPhone 7 Plus running iOS 10.1.1 users can not use this method. They need to use Extra_recipe+yaluX method for Cydia.
Device Compatibility:
iPhone 7 & 7 Plus , iPhone 6S & 6S Plus ,iPhone 6 & 6 Plus

iPhone SE / iPhone 5s , iPod Touch 6G

iPad Mini 2 / iPad Mini 3 / iPad Mini 4

iPad Air /iPad Air 2 /iPad Pro
Step Guide
Step 01. Install zJailbreak app to your device first from following button.
Step 02. It will check the system compatibility.
Step 03. Click on the “zJailbreak install” button.
Step 04. It will ask device security code. Then click on the install button to have zJailbreak app on the device Home screen.
Step 05. Run the zJailbreak app.
Step 06. Choose “ Pigsy Online Jailbreak” from zJailbreak app store and Install it.
Step 07. Go to Home screen and run the Pigsy Online JB app. Then choose the Yalu102 jailbreak.
Step 08. It will complete the jailbreak process. Let it to complete. Finally, it will install Cydia app on Homescreen.
Note -  If you get Cydia installation fail message, you have to repeat the above process several times.

Yalu102 Jailbreak with PC

Luca Todesco released Yalu102 tool version to jailbreak iOS 10 to iOS 10.2 including iOS 10.1 and iOS 10.1.1 versions. It supports all the 64 bit devices excluding iPhone 7 and iPhone 7 plus. It needs to get the PC support to complete this process.
Device compatibility:
iPhone 6s / iPhone 6s Plus / iPhone 6 / iPhone 6 Plus

iPhone 5s / iPhone SE

iPod Touch 6G
iPad Mini 2 / iPad Mini 3

iPad Air /iPad Air 2 /iPad Pro
Prerequisites:
Needs to get data backup using iCloud or iTunes.
Make sure to turn off Find my iPhone, Touch ID and the Passcode.
Download and install latest iTunes.
Download Yalu102 IPA from here.
Download Cydia Impactor according to your computer operating system from here.
Step Guide
Step 01 - Connect the device to the computer.
Step 02 - Open downloaded Cydia Impactor tool.
Step 03 - Drag & drop the downloaded Yalu102 IPA file into the Cydia Impactor.
Step 04 -  It will ask Apple ID and the Password.
Step 05 - It will be available Yalu102 app on your device home screen after complete the Apple ID sign in.
Step 06 -  Verify the Yalu102 app. Go to Settings --- > General --- > Device --- > Management --- > Trust.
Step 07 - Then run the Yalu102 app and click on the go button.
Finally, Cydia icon will be available on the device Home screen. If it is not, run the Yalu102 app and click on the go button again.

Extra_recipe+yaluX tool

Xerub & Ianbeer made this tool to jailbreak iPhone 7 running iOS 10.1.1 version only. This is a update tool version of yalu + mach_portal tool. You can use same Yalu102 jailbreak with PC method to complete this jailbreak. Click here to get the step guide. The only change is You have to use Extra_recipe+yaluX tool instead of Yalu102 IPA tool. Other steps remain as  same.
Download Extra_recipe+yaluX tool from here.

06 - zJailbreak for latest non rooted app store apps

zJailbreak is available for iOS 10.1 & iOS 10.1.1 versions. This tool provides non rooted App store and limited functional Cydia too.
zJailbreak for iOS 10.1.1 is very similar to iOS 10.2 zJailbreak guide. click here to get it.
Under the Z Jailbreak app, it has many useful third-party apps.  zJailbreak team will upgrade this more with adding many apps in future.  This method is the best solution to get paid app just for free.
Here are the Benefits of having Z Jailbreak apps on your iOS device.
AppStore paid apps can have for free.
Limited functional Cydia is available.
Easy to upgrade up to full functional Cydia, when having full jailbreak.
Cydia store apps can download.
Games hacked facility also available.
Watching & downloading movies for free.
Free online and offline music download.
FB skins can change.
Theme store brings brand new themes.
 
 
 
iOS 10.3.3
iOS 10.3.3 users have many jailbreak tools to jailbreak their devices. G0blin jailbreak, meridian jailbreak, and C0F3 jailbreak are some of them. Also, there are Anzhuang and velonzy Jailbreak app installer available as the nonrooted system. Go to iOS 10.3.3 jailbreak page to get more details.
Online Jailbreak app Installer
Pangu8 has released online Jailbreak app installer for all latest iOS devices. It calls Pangu Anzhuang. You can use it to install some popular Jailbreak apps using dev code extraction method.
Phoenix Jailbreak
Phoenix Jailbreak is one of the IPA based Jailbreak methods. It has been released to iOS 9.3.5
Yalu 102 - iOS 10.2 jailbreak
Luca Todesco released Yalu102 tool for iOS 10.2 jailbreak. This is the only solution to install full functional Cydia for iOS 10 to iOS 10.2 versions. Read more about iOS 10.2 jailbreak  and Yalu102 jailbreak.
iOS 10.1 bug bounty
Apple has introduced the bug bounty program to the iOS hackers. They offer millions of dollars to prevent the Jailbreak. Many Jailbreak hackers will be discouraged to release public Jailbreak because of this program

Jailbreak iOS 10.1/10.1.1

06 zJailbreak - You can use zJailbreak app store to install third party apps without entering system root.

01 - Yalu Jailbreak for Fully functional Cydia

Yalu102 jailbreak tool supports for the iOS 10.1 & iOS 10.1.1 Jailbreak. You can use Yalu102 online method or Yalu102 PC required method for all devices except iPhone 7 and iPhone 7 Plus.
Extra_recipe+yaluX tool is recommended for iPhone 7 and iPhone 7 Plus running iOS 10.1.1 users only. However, these three methods provide semi tethered jailbreak solution. That is  lost Cydia every time, when reboot the device.Therefore, users must use Cydia reactive method to reactive Cydia after using given below methods. 
 

03 -  Houdini Semi Jailbreak

 
Houdini is a different kind of jailbreak method to install system rooted apps or non system rooted apps to iPhones and iPads running iOS 10.1 and iOS 10.1.1 versions. Abraham Masri released this method targeting all the iOS 10.X version excluding iOS 10.3.3. But iPhone 8/8plus and iPhone X users can not use this semi jailbreak method. Also, this is compatible with iOS 11 to iOS 11.1.2 Jailbreak.
Click here to get more information about Houdini compatibility and the step guide. 
02 h3lix Jailbreak - h3lix jailbreak installs full functional Cydia to all 32-bit devices.

02 - H3lix Jailbreak for Full functional Cydia

Tihmstar and Siguza brought h3lix Jailbreak for iOS 10.1/iOS 10.1.1 as well as all iOS 10 versions. Also, this is supported to only for 32-bit devices.
Step 01 - Download h3lix IPA and Cydia Impactor from  from the following buttons.
Step 02 - Connect your iOS device to your computer. Launch Cydia Impactor and Sideload the jailbreak IPA using Cydia Impactor. You need to provide your Apple ID and password for this process.
Step 03  - Once sideloaded h3lx app will be available on your device homescreen. You need to trust the profile before launching the h3lix jailbreak app.

General --- > Settings --- > Profiles & Device Management --- > Trust the Enterprise App.
Step 05 - It will take few minutes to complete the process, and finally, you should have Cydia on the homescreen of your device.
Now you will be able to run Cydia and install tweaks.
Note :  If there is no Cydia, rerun the h3lix app until it appears.
Hence H3lix is a Semi-tethered jailbreak, re-jailbreak to get your device back into jailbreak mode. Just run the h3lix app tapping on “jailbreak” button again.
 
04 C0F3 Jailbreak -  C0F3 jailbreak installs full functional Cydia for all 64-bit devices.
05 Meridian Jailbreak - Meridian jailbreak installs Cydia for all 64-bit devices.

04 C0F3 Jailbreak

C0F3 is a jailbreak released to jailbreak iOS 10.X and iOS 11 to iOS 11.1.2. It is developed by the  Joseph Shenton and the C0F3 Team. C0F3 tool based on Ian Beer’s asyn_wake, Siguza’s v0rtex exploit, and Xerub’s KPPless jailbreak technique. However, this jailbreak is still under development.
You can get C0F3 jailbreak installation guide from here.

05 Meridian Jailbreak

Meridian jailbreak released to jailbreak all iOS 10 versions.This is similar to LiberiOS jailbreak. It is developed by Ben Sparkes.It utilizes Siguza’s v0rtex exploit and Xerub’s KPPless method.This tool is still in early development stage and may not work properly on all devices.
Click here to get Meridian jailbreak installation guide.
 
 
iOS 11.2.2 Jailbreak
Currently, there is no any jailbreak solution for iOS 11.2.2 Jailbreak other than Pangu  Anzhuang and Velonzy. Both Anzhuang and Velonzy work as jailbreak app installer for iOS 11.2.2 as well as iOS 11.2.5.