In automotive industry a new technology is in the offering, which is said to make the road traffic safer. Vehicles should no longer be driven by humans, but move along autonomously. This issues a challenge especially to the legislator, because occasionally the legal system is inadequately prepared to such technological progress. Therefore, in this thesis the question will be pursued, how autonomous vehicles are compatible with the current law and in which fields of law changes need to be done. As new technologies are also tainted with risks, there will be discussed how far the legislator is obliged to take precautionary measures to protect the fundamental rights. Considering a traffic accident with material and personal damage, there would be an interference to fundamental rights to those involved in the accident. Hence, it is determined whether the legal norms of liability and insurance are applicable to provide the required protection to the victims. On the way to autonomous driving more legal problems arise, such as the authorization right with its complexity of international regulations. In addition, traffic law with its requirements to the driver, and the driving licence law with its driving licence duty, are at issue. The areas of data protection and criminal law will be discussed, as due to the threat of hack attacks on autonomous vehicles, effective shelter for the fundamental right of data protection is needed. In respect to data protection law, the cameras used for detecting the surroundings are examined to a legal basis, because they could represent a public video surveillance. Finally, approaches are being pursued, which deal with conditions for the production of autonomous vehicles, or moreover are under the premise of a verified safety of autonomous vehicles.