Method for data transmission in a wireless local area network refers to wireless local area networks (WLAN) consisting of a multitude of transceivers capable of establishing communication with one another (i.e. operating in a peer-to-peer mode). Implies the determination of the quality of communication between all transceivers and storage of communication quality data by each of the transceivers. Based on stored data on communication quality, a transceiver operating in the transmission mode transmits information to an addressee by a transmission route that provides for the quality of communication, which is equal to or better than a specified threshold value of communication quality. Stored data are updated periodically. The method improves the quality and reliability of communication for WLAN users (including mobile users) thus increasing the data transmission rate.