The present invention provides a high-power board-to-board floating connector that comprises a male header and a female socket. The male head comprises a first electrode, a first housing and a first insertion element. The female socket comprises a second electrode, a second housing, a floating member, and a second insertion element. The second housing combines with the floating member to form a connection part which can be slightly moved in one or more directions, so that the male head can be connected to the female socket in a permissible range, and then the first electrode is electrically connected to the second electrode.