If you have installed apache on my server however you can not browse your website through your server's IP. Here is some reasons:

• firewall, iptables configuration
• apache listen address / port

More information is needed about your configuration. What distro are you using? Can you connect via 127.0.0.1?

If the issue is with the firewall/iptables, you can add the following lines to /etc/sysconfig/iptables:

-A INPUT -p tcp -m tcp --dport 80 -j ACCEPT
-A INPUT -p tcp -m tcp --dport 443 -j ACCEPT

(Second line is only needed for https)

Make sure this is above any lines that would globally restrict access, like the following:

-A INPUT -j REJECT --reject-with icmp-host-prohibited

Tested on CentOS 6.3

And finally

service iptables restart