Through this thesis I would like to present to the reader information on criminal action in the computer sector, features of prosecution, disclosure, prevention and punishment of the authors of this criminal action. These type of crimes encountered in the last decade, are of international character and they cause serious consequences, threatening personal or public property rights through computer fraud. The first time that computer crimes are predicted in the Albanian penal legislation, was in 2008, in a full approach with other European Union and USA countries experience. Of special interest for the reader it will also be the legal analysis of criminal actions of “through computer distribution of pro genocide or antihuman crime” “Intimidation caused by racism and xenophobia through computer system” “computer fraud” “Through computer counterfeiting “ “Unauthorized access in a computer” The aspect of legal analysis of material law closely linked with the transformation changes that criminal procedural law, will be presented in the function of a full and comprehensive investigation, by charging new competences and responsibilities to Juridical Police for accelerated storage and maintenance of data, as well as the accelerated storage and partial disclosure of computer data. Moreover, I aim to create a clear concept on digital evidences as well as their sequestration procedure. The accomplishment of computer investigation will be presented closely linked with procedural competences in order to store the accelerated observation of certain computer data, include here the rules of delivery. Although that criminal act of computer fraud is more actual, electronic crime also expands in some other criminal acts, such as: child and female abuse, counterfeit, threat of murder, robbery, terrorist acts, prostitution, financial crime, etc. Last but not least, in this thesis I will present to the reader manageable aspect of investigation and judgment of these acts, mainly in Tirana.