In the age of information technology, it is becoming increasingly difficult to maintain privacy. Sometimes anonymity on the Internet helps to protect everyone’s right. Anonymity on the Internet also helps to protect against possible illegal actions of third parties. There is a number of technologies that you can use to monitor site user activity. These include technologies such as cookies and fingerprints. Today, cookies technology is an important component of most operations on the Internet. This technology is considered to be one of the main tools that Internet resource owners use to track customers. However, this technique is gradually becoming obsolete and often does not give the desired effect. Fingerprint technology is a global identifier. Browser typos make its owner more recognizable not only on frequently visited Internet resources, but also in other electronic sources. Fingerprints capture the holistic picture that a resource receives from a web browser. This allows you to identify the client even if you make changes to your browser settings. This article deals with the problem of anonymity preservation in a network. The authors describe the main technologies for tracking the users’ website activity, the principles of their work, and the protection methods against these technologies. The advantages and disadvantages of the cookies and fingerprint technologies have also been determined.