As of 2014, it is 5774 according to the Jewish calendar.
The Jewish calendar puts the current year at 5770, counted since creation.
The year 5771 in the Hebrew calendar begins on September 9, 2010 .
As of November, 2010, the year, according to the Jewish calendar is 5771.
The Hebrew traditional year of 5772 begins on Wednesday evening, September 28, 2011.
That would be the Jewish Calendar. Subtract the current civilian year of 2011 from the current Jewish year of 5770 and you get the biblical date from the "creation" of Adam which was 3760 years before the birth of Christ, the second "Adam".
The Jewish calendar is a lunar calendar. The New Year is always on the same date in that calendar - it is just our solar calendar where the date "changes."
It was 5769 up until Rosh Hashanah, the Jewish New Year which this year began on the 18th of September in the secular calendar; so, according to the Jewish calendar, it is now 5770.
The year 7000 on the Hebrew calendar will occur in September of the year 3240.
The Hebrew calendar year of 5772 began on September 29, 2011.