The invention relates to a method for automatic adjustment of a single-input-port and single-output-port tunable matching circuit, for instance a single-input-port and single-output-port tunable matching circuit coupled to an antenna of a radio transceiver. The invention also relates to an automatic tuning system using this method. The reactance of each adjustable impedance device of the tunable matching circuit is determined by at least one tuning control signal. In addition to the begin symbol and the end symbol, a flowchart of a tuning sequence comprises: a process generating initial values of the tuning control signals, which uses an open-loop control scheme using one or more quantities depending on the carrier frequency of the excitation; and a process generating subsequent values of the tuning control signals, which uses a closed-loop control scheme and an extremum-seeking control algorithm.