The Wi-Fi network represents a part of the network infrastructure that is high on the scale of exposure to possible attacks. The air as a signal carrier medium, which extends beyond the intended coverage area of the wireless signal, contributes to the exposure of the wireless network to potential attackers. The architecture of the wireless network standard IEEE 802.11 (Wi-Fi) contains protective encryption mechanisms that protect the wireless network from potential attackers. Encryption mechanisms have advanced in the development technology of the wireless network standard 802.11 and become better in protecting wireless network communication, especially when it comes to the new WPA3 algorithm. The final paper provides a basic overview of how Wi-Fi technology works with an emphasis on security. In the practical part of the final paper, the use of tools used in wireless network penetration testing, which are an integral part of the Kali Linux distribution, is presented. The use of the network traffic monitoring and analysis tool Kismet was demonstrated, while the tools Jack the Ripper and Wifite were used to demonstrate a Wi-Fi attack with Brute-force attack, that is, an attack using a Dictionary attack.