To Run Kile, you will be required to have the following components installed on your system:
K Desktop environment (KDE): KDE is a popular open-source desktop environment.
Qt: Qt is a C++ development tool needed to compile Kile.
LATEX: high-quality document typesetting program. Most likely you have (or want) the teTEX package, since you are on a Unix-like system.
Optional packages:
Some of these items might be included in your Linux distribution; please refer to your distribution documentation, or refer to your installation CD or DVD, for adding these packages to your computer.
The Kile project includes several binary packages of Kile for different distributions that can be easily installed and run without having to compile; check out the Kile homepage.