1.Log into the VPS

2.Download the magento software

http://www.magentocommerce.com/download.

3.Upload the software in your cPanel – > file manager or using ftp client

4.Upload the magento installation files under public_html if you are accessing the magento as http://domainname

5.Once you upload the file, change the permission as 755

6.Create the MySQL database and add the user to the database

7.Navigate to the browser and type http://domainname

Now the magento installation file opens

8.Agree the terms and conditions and continue the process.

9.Enter the database details: Database Name, Username and User Password. Click on the continue button.

10.Now the magento is installed successfully.