Yalu is the 1st jailbreak for iOS iOS 10.(1(.1))
Still, the Yalu Jailbreak is beta status. Only download the IPA file if you are advanced iOS user or hacker. You must have installed the Xcode to your Mac for this Jailbreak, and You must be registered  Apple developer.
Otherwise, bookmark this page and visit again.
Warning - the Beta IPA is only for Advanced iOS users and hackers. Download it at your own risk
Compatibility -
More info about this iOS 10 Jailbreak
This Jailbreak method is not an untethered. It is Semi untethered such as the previous Pangu Jailbreak ( iOS 9.2 - 9.3.3 )
It means you have to Jailbreak every time you reboot your device. But you don't want to use a computer. (One click Jailbreak )
Cydia is fully functional. But it is not stable.
MobileSubstrate doesn't work
It is an only Basic jailbreak. You must have an idea to access to iOS system root to place all other components.
Almost every Jailbreak apps and tweaks are not working with this Jailbreak ( until now)
Jailbreak doesn't available with iOS 10.2
All Credit goes to Luca Tedesco on this iOS 10 Jailbreak

Thank you very much, Luca, for this Jailbreak
Follow Luca on Twitter
Like Yalu Jailbreak page at Facebook
Cydia Impactor
Yalu jailbreak app
Trust for developer profile
Cydia icon
Before start jailbreak, you must complete below requirements to avoid unnecessary issues.
This jailbreak only supports iPhone 7/7 Plus, iPhone 6s/6s Plus, and iPad Pro devices.
Your computer should run latest iTunes version, otherwise update it to latest.
Backup device data before start. You can do it either iTunes or iCloud methods.
Disable Touch id and regular passcode - Reactivate once complete jailbreak.
Disable Find My iPhone - Reactivate once complete jailbreak.
Step guide -
Connect your iOS device to computer by using USB cable
Open Cydia Impactor application
Now select Yalu IPA file and drop it to Cydia Impactor
Yalu IPA file
Type Apple ID and Password on popup boxes once Cydia Impactor requires
Apple ID and Password
Waits for IPA sign
IPA sign
At this time Cydia Impactor will sign Yalu IPA and will install Yalu jailbreak app on your iOS device
Once installed you have to trust the application. Therefore, go to Settings >  General > Profile and find Yalu jailbreak developer app.
Click it to trust
Now again visit your home screen and click Yalu (mach_portal)
Now let alone yalu jailbreak to install Cydia
Your device will restart at this time
Check Homescreen for Cydia

You must be a conversant iOS developer or hack. Otherwise please wait some time. This iOS 10.2 Jailbreak method will be stable soon.
Download Yalu Jailbreak IPA
iPhone 7 / 7Plus - iOS 10.1-10.1.1
iPhone 6s/iPad Pro -  iOS 10-10.1.1
Cydia impactor