Rebuked, i.e. punished, as Psalms 6:1; or destroyed, as it is explained in the next clause. The heathen, to wit, the Philistines and other heathen nations, who did from time to time molest David, or the people of Israel. Their name; either that fame and honour which they had gained by their former exploits, but now utterly lost by their shameful defeats; or their very memorial, as it fared with Analek.
Related Commentaries of Psalms 9:5
Psalms 9:5
5 Thou hast rebuked the heathen, thou hast destroyed the wicked, thou hast put out their name for ever and ever.