Here HOW to fix X-BOX ONE connection error with wifi

Network ports used by Xbox Live on Xbox One
Port forwarding overview

A network port allows your Xbox One console to communicate with the Xbox Live servers and other connected Xbox One consoles over the Internet.

You may have to make a configuration change to your firewall or network hardware, such as a router, for your Xbox One console to communicate with Xbox Live. This configuration change is sometimes called "opening ports" or "port forwarding." Port forwarding for Xbox One is done on your router or other network hardware, not on the Xbox console itself.

Xbox Live requires the following ports to be open:

Port 88 (UDP)
Port 3074 (UDP and TCP)
Port 53 (UDP and TCP)
Port 80 (TCP)
Port 500 (UDP)
Port 3544 (UDP)
Port 4500 (UDP)