Hello,
I'm trying to connect to the Internet using Fedora 2.0. I can ping my server from my laptop and I also can ssh using putty, but I cann't VNC(vitrual network connection) to my laptop from the server but, however I can ping my laptop from my linux machine running 2000 on my laptop. I also try to connect using a web IP address that esteeven give me but no success. I can see my IP address with ifconfig and when I netstat the etho is working correctly. Evertime I use Mozilla I cann't get a web page. -HELP-

You have to get two things right:
1. check the firewall on the server - 99% of trouble is that the firewall does not let you through; if the server uses iptables, check the /sbin/iptables -L
2. type /sbin/route -n and see whether your server IP is listed as a gateway (the line with UG flag)

Usually routes are set up when ifup eth0 is issued (network card initialized), if there was a problem, disabling and enabling again might be an easy way to do it right
/sbin/ifdown eth0
/sbin/ifup eth0

Hope this gives you some ideas for further exploring,
Robert