Here is a great Falconry Timeline, I have also compiled a page with the complete history of Falconry if you would like.

* 722-705 BC - Assyrian Bas-relief found in the ruins at Khorsabad during the excavation of the palace of Sargon II (or Saragon II) depicts falconry. A. H. Layard's statement in his 1853 book Discoveries in the Ruins of Nineveh and Babylon is "A falconer bearing a hawk on his wrist appeared to be represented in a bas-relief which I saw on my last visit to those ruins."
* 680 - Chinese records describe falconry
* E. W. Jameson suggests that evidence of falconry in Japan surfaces
* 4th Century BC - Gold coin pictures Alexander the Great with a hawk on his fist. It is assumed that the Romans learned falconry from the Greeks, although it was uncommon; there are accounts of Caesar using trained falcons to destroy pigeons carrying messages
* 384 - Aristotle and other Greeks made references to falconry
* 200 BC - Japanese records note falcons given to Chinese princes
* 355 AD - Nihon-shoki, a historical narrative, records falconry. It is said that the first Japanese falconer was a woman named Kochiku, and her only daughter was also a falconer.
* 500 - E. W. Jameson pins the earliest actual evidence of falconry in Europe is represented in a Roman floor mosaic of a falconer and his hawk hunting ducks.
* 600 - Germanic tribes practiced falconry
* 8th and 9th century and continuing today - Falconry flourished in the Middle East
* 9th century - Japanese records mark the presence of women falconers
* 875 - Western Europe and Saxon England practiced widely; Crusaders are credited with bringing falconry to England and making it popular in the courts
* 1066 - Normans wrote of the practice of falconry; Following the Norman conquest of England, falconry became even more popular. The Norman word 'fauconnerie' is still used today.
* 1600's - Dutch records of falconry; the Dutch city of Valkenswaard was almost entirely dependent on falconry for its economy
* 1801 - James Strutt of England writes, "the ladies not only accompanied the gentlemen in pursuit of the diversion [falconry], but often practiced it by themselves; and even excelled the men in knowledge and exercise of the art."
* 1934 - The first US falconry club, The Peregrine Club, is formed; subsequently died out during World War II
* 1961 - NAFA formed
* 1970 - The Peregrine Fund is founded mostly by falconers to conserve raptors, but focusing on Peregrines

I also have a comprehensive history of falconry here if you would like to learn more on this ancient art

Sources Ancient Falconry http://www.firstsciencee.com/S1TE/articles/dobney.asp
Sports and Pastimes of the People of England http://www.sacredtexts.com/neu/eng/spe/spe06.htm