Using Ubuntu PPA
First you need edit /etc/apt/sources.list file
sudo gedit /etc/apt/sources.list
Add the following two lines
deb http://ppa.launchpad.net/chromium-daily/ppa/ubuntu jaunty main
deb-src http://ppa.launchpad.net/chromium-daily/ppa/ubuntu jaunty main
save and exit the file
Now add the GPG key using the following command
sudo apt-key adv --recv-keys --keyserver keyserver.ubuntu.com 0xfbef0d696de1c72ba5a835fe5a9bf3bb4e5e17b5
Update source list
sudo apt-get update
Install chromium browser using the following command
sudo apt-get install chromium-browser
This will complete the installation
If you want to open chromium go to Applications->CrossOver Chromium->Chromium
Chromium web browser in action
Source