An asylum procedure is an official process in Germany. A public authority examines whether you can receive asylum. You can apply for asylum if you are not safe in your country of origin. For example, if the state puts your health or your life at risk.
If you want to apply for asylum in Berlin, contact the Landesamt für Flüchtlingsangelegenheiten und Unterbringung (LFU, formerly LAF) as soon as possible. There, you will be registered and receive information about the next steps.
Here you can find more information about the asylum procedure in several languages.