The Lord hath broken - Yahweh, by the hand of Cyrus.
The staff of the wicked - That is, the scepter of the king of Babylon. The word rendered ‘staff’ (מטה maṭēh) may mean either a bough, stick, staff, rod, or a scepter. The scepter was the symbol of supreme power. It was in the form of a staff, and was made of wood, ivory, or gold. It here means that Yahweh had taken away the power from Babylon, and destroyed his dominion.