There are a few reasons that Joomla components fail during installation. You can find clues in the errors you receive. Usually the reasons are a too low max_execution_time or memory limit setting in your php.ini. Depending on your current settings it can be a good idea to increase this value.

Another possibility is to install from a directory. Here you will avoid the uploading the package, which can solve some issues.

In summary: 

• Increase the max_execution_time value in your php.ini.
• Increase the memory limit value in your php.ini
• Try to install with one of the alternative installation methods.
• Check if you really need the FTP Layer enabled on your webhost.
• Check if Joomla has the required write permissons for the target directories.