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LiteSpeed Web Server (LSWS) is a high-performance Apache drop-in replacement. LSWS is the 4th most popular web server on the internet and the #1 commercial web server. Upgrading your web server to LiteSpeed Web Server will improve your performance and lower operating costs:
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Steps to install Litespeed :

Step 1 : Visit following page for instructions :
http://www.litespeedtech.com/support/wiki/doku.php?id=litespeed_wiki:cpanel:auto-installer

Step 2 : Download litespeed-cpanel plugin from following link :
http://www.litespeedtech.com/products/control-panel-plugins/download


Step 3 : Login through ssh of server :

Step 4 : Run following commands:

4.1 : wget http://www.litespeedtech.com/packages/cpanel/lsws_whm_autoinstaller.sh
4.2 : chmod +x lsws_whm_autoinstaller.sh
4.3 : sh lsws_whm_autoinstaller.sh

Step 5: Open WHM Panel and configure litespeed .