The invention relates to a method for the destruction of a localized mine, wherein an unmanned underwater vessel cooperates as a primary vessel (11) with another unmanned remote-controlled underwater vessel acting as a secondary vessel (12) and which is provided with an explosive charge for explosion purposes. In order to reduce clearing costs in comparison with a method which uses a disposable vessel and in order to reduce clearing times in comparison with a method using a re-useable clearing vehicle, the primary and secondary vessel (11,12) are used in an autonomously operating tandem mode, wherein the secondary vessel (12) is remote-controlled by the primary vessel (11). The tandem mode is effected as far as the mine (33) from the primary vessel (11) outwards by means of stored positional data on the localized mine (33) and on-board assisted navigation data; the mine (33) is relocalized by means of acoustic and/or optical sensors and the secondary vessel (12) is positioned in relation to the the mine in a remote-controlled manner once the mine has been relocalized and the explosive charge is exploded by remote control.