Local And Wireless Connected But Won't Access Internet

Sometimes for a minute sometimes all day until I reset modem/router. It never says not connected though...it always says connected and excellent signal strength but when it won't access internet I can look at my modem/router and tell by the lights its not working even though it says connected. This time even though I reset everything like normal I still can't access internet. I thought it might have been my router so I went and bought a new one and still nothing. Doesn't work wireless or through local connection. Both say connected but nothing. When I do a diagnostic I get the DNS 0x2afc and HTTP 12007 errors. Both computers won't connect so I'm thinking it has to do with my actual router settings or modem.Both Windows XP and Windows 7 laptops won't work.