First contact your ISP. You need to confirm that the issue is not on their end.
Change your router channel. Sometimes this is all you will have to do.
Power cycling the router. Read the router's user manual or contact their tech support for instructions.
System Preferences/Internet & Network/Network
Unlock the padlock
Locations: Automatic
Highlight Airport
Click the Assist Me button
In the popup window click the Diagnostic button.
System Preferences/Network- Unlock padlock. Highlight Airport. Network Name-select your name. Click on the Advanced button. Airport/Preferred Networks-delete all that is not your network.
Place a check mark next to "Remember networks this computer has joined." Click the OK button and lock the padlock. Restart your computer.
http://support.apple.com/kb/TS1920 Mac OS: How to release and renew a DHCP lease
No internet connection (wireless)
Check to see if an extra entry is present in the DNS Tab for your wireless connection (System Preferences/Network/Airport/Advanced/DNS).
Delete all extra entries that you find.
Place a check mark next to "Remember networks this computer has joined."
Other resources to check into:
Configuring 802.1X in Mac OS X Lion and Later
Non-responsive DNS server or invalid DNS configuration can cause long delay before webpages load
Netspot
How to diagnose and resolve Wi-Fi slow-downs
Pv6 troubleshooting
OS X Mountain Lion: Check the status of your network connections
OS X Mountain Lion: Requirements for wireless Internet access
What Affects Wireless Internet?
Solutions for connecting to the Internet, setting up a small network, and troubleshooting
If using one of Apple's Airport routers, read its user manual or post in its forum area. If using a 3rd party router, read its user manual, contact their tech support department/website or post in its forum area. Another possible solution - read mammothsuziq response https://discussions.apple.com/thread/4096745?answerId=22082360022#22082360022
