January 27 competes with three other commemoration dates. The most widely recognized date until now has been Yom Hashoah-- the 27th of Nisan on the Hebrew calendar. This date was set by the Israeli Knesset in 1951. Here is an account by Jennifer Rosenberg on how that date was chosen:
The Zionists in Israel, many of whom had fought in the ghettos or as partisans, wanted to commemorate the beginning of the Warsaw Ghetto uprising - April 19, 1943. But this date on the Hebrew calendar is the 15th of Nissan - the beginning of Passover, a very important and happy holiday. Orthodox Jews objected to this date.Some Jews choose one of two other dates, as described by Rabbi David Golinkin:
For two years, the date was debated. Finally, in 1950, compromises and bargaining began. The 27th of Nissan was chosen, which falls beyond Passover but within the time span of the Warsaw Ghetto uprising. Orthodox Jews still did not like this date because it was a day of mourning within the traditionally happy month of Nissan. As a final effort to compromise, it was decided that if the 27th of Nissan would affect Shabbat (fall on Friday or Saturday), then it would be moved to the following Sunday.
On April 12, 1951, the Knesset (Israel's parliament) proclaimed Yom Hashoah U'Mered HaGetaot (Holocaust and Ghetto Revolt Remembrance Day) to be the 27th of Nissan. The name later became known as Yom Hashoah Ve Hagevurah (Devastation and Heroism Day) and even later simplified to Yom Hashoah.
The Orthodox Rabbinate of Israel attempted to promote the Tenth of Tevet -- a traditional fast day commemorating the beginning of the siege of Jerusalem in ancient times -- as the "General Kaddish Day" in which Jews should recite the memorial prayer and light candles in memory of those who perished in the Holocaust. Several ultra-Orthodox rabbis have recommended adding piyyutim (religious poems) that were written by contemporary rabbis to the liturgy of the Ninth of Av, and many communities follow this custom. Ismar Schorsch, the chancellor of the Conservative movement's Jewish Theological Seminary, has also suggested moving Holocaust commemorations to Tisha b'Av, because that is the day in which Judaism ritualizes its most horrible destructions.