Google Chrome is a browser that combines a minimal design with sophisticated technology to make the web faster, safer, and easier.
First you need to download .deb package from here now you need to install this .deb file by double clicking on it or using the following command
sudo dpkg -i google-chrome-stable_current_i386.deb
If you see any dependency errors use the following command
sudo apt-get -f install
You can open google chrome from Applications > Internet -> Chromium Web Browser

I think there’s a better way of doing it. Simply follow instructions from <a href="http://www.google.com/linuxrepositories/apt.html" title="Google Repos for Debian Howto" modifying the last step to:
sudo apt-get update
sudo apt-get install google-chrome-stable
This way you’ll have Google Chrome updated automatically!
Correction:
I think there’s a better way of doing it. Simply follow instructions from modifying the last step to:
sudo apt-get update
sudo apt-get install google-chrome-stable
This way you’ll have Google Chrome updated automatically!
Please remove my two previous posts, I’m a bit tired:
I think there’s a better way of doing it. Simply follow instructions from Google Repos for Debian Howto modifying the last step to:
sudo apt-get update
sudo apt-get install google-chrome-stable
This way you’ll have Google Chrome updated automatically!
No need to manually add the Google repository, when you install Chrome it adds the repo to your sources.list.
http://www.google.com/chrome/eula.html
Note: Installing Google Chrome will add the Google repository so your system will automatically keep Google Chrome up to date. If you don’t want Google’s repository, do “sudo touch /etc/default/google-chrome” before installing the package.
If you want the dev version do apt-get install google-chrome-unstable
google-chrome-unstable:
Installed: 6.0.466.0-r52279
Candidate: 6.0.466.0-r52279
Version table:
*** 6.0.466.0-r52279 0
500 http://dl.google.com stable/main Packages
after i installed in debian 6.0 it doesnt show up in apps>internet, what do?