What Jewish holiday is celebrated during Christmas.?

None. There is no Jewish holiday that is specifically celebrated during Christmas. Hanukkah SOMETIMES coincides with Christmas, but not always.

Hanukkah starts on the Hebrew calendar date of 25 Kislev, and lasts for eight days. Here are the coinciding secular dates for the upcoming years:

2011: December 20-28

2012: December 8-16

2013: November 27-December 5

2014: December 16-24

2015: December 6-14