I guess the answer is they CAN celebrate it, but usually do not. Messianic Jews being the likely exception.
The Orthodox Jews do not believe that Jesus is the Messiah, so they aren't celebrating His birth at all when they are having Hanukah. It's a whole other celebration all together.
Hanukah recalls the struggle for religious freedom and commemorates the victory of the Jews over the Hellenistic Syrians in the year 165 B.C.E.
In the year 167 B.C.E. the Greek king, Antiochus Epiphanes began a campaign to force the Jews under his rule to formally adopt Greek practices. One Jewish family, five sons and their old father, took a stand.
One day Greek forces arrived at Modiin, the home of Mattityahu, an elder and religious leader of the prestigious Hasmonean family. There, the army established a Greek religious altar and ordered Mattityahu to offer a sacrifice to a pagan god. Mattityahu refused, but while he stood firm, another Jew offered to make the sacrifice. Enraged, Mattityahu killed him and attacked the Greek soldiers. His action sparked a Jewish rebellion, which he and his sons led. They became known as the Maccabees, which in Hebrew, means Men Who are as Strong as Hammers.
Led by Judah Maccabee, the most famous of Mattityahu’s five sons, the Maccabees, a force much smaller than the powerful Greek armies, finally triumphed in 165 B.C.E. On the 25th of Kislev, the Maccabees reclaimed the Jewish Temple, which was, at that point, almost unrecognizable as a place of Jewish worship.
The Talmud says that when the Jewish army wanted to rededicate the Temple, they were unable to find enough specially prepared oil to light the Menorah, a holy lamp, or candelabra, used in the Temple service.
Finally, in one Temple chamber, the Maccabees found a single bottle of oil, which normally would have lasted only one night. However, by a miracle, the one bottle of oil lasted eight nights, until new oil, fit for Temple use, could be produced.
This is the miracle Jews commemorate to this day. By lighting the eight Hanukah lights of the menorah, Jews everywhere recount the triumph of our ancestors against immorality, the rededication of the Temple in Jerusalem and the miracle that a one day supply of oil lasted eight days.
danicolgirl, I do believe in the God of Abraham, Isaac and Jacob and I do believe that Jesus Christ is God. I think you've got just a bit of your info mixed up. Christians and Jews DO worship the same God, Only the Jews are still waiting for a messiah, while the Christians are believing that Jeshua/Jesus is the Messiah.