Well, I'm not sure if by "traditional" you just mean, 'songs Jews currently sing at Hanukkah', or, 'songs that have traditionally (i.e. for centuries) been sung during Hanukkah,'—so I'll include one of each. The most traditional Hanuhkah song is probably Maoz-Tzur, a song that has been sung during Hanukkah since the thirteenth century. read more
One of the traditions of celebrating Hanukkah is to sing songs after the candles have been lit. Here are the words and tunes of the some of the most time-honored Hanukkah folk songs, so you can sing along! Maoz Tzur Ma'oz tzur yeshu'ati, lecha na'eh leshabe'ach, tikon beit tefilati, vesham todah nezabe'ach. Le'et tachin matbe'ach mitzar hamenabe'ach. read more
"Hanukkah, Oh Hannukka" (also known as "Oh Chanukh") is the English version of a traditional Yiddish song known as "Oy Chanukah." Authorship of the words has long-since been lost, but different classical composers have made use of the basic melody, including Hirsch Kopy and Joseph Achront. read more