Gave names — That is, other names, relating to the idol — gods. Belteshazzar — So Daniel had the name of Belteshazzar, from the great Babylonian idol Baal or Bell. This was by the king's command, and herein he put forth an act: of his sovereignty.
Related Commentaries of Daniel 1:7
Daniel 1:7
7 Unto whom the prince of the eunuchs gave names: for he gave unto Daniel the name of Belteshazzar; and to Hananiah, of Shadrach; and to Mishael, of Meshach; and to Azariah, of Abednego.