Father's Day, in the United States, is a holiday (third Sunday in June) to honour fathers. Credit for originating the holiday is generally given to Sonora Smart Dodd of Spokane, Washington, whose father, a Civil War veteran, raised her and her five siblings after their mother died in childbirth. She is said to have had the idea in 1909 while listening to a sermon on Mother's Day, which at the time was becoming established as a holiday. Local religious leaders supported the idea, and the first Father's Day was celebrated on June 19, 1910, the month of the birthday of Dodd's father. In 1924 President Calvin Coolidge gave his support to the observance, and in 1966 President Lyndon B. Johnson officially proclaimed it a national holiday. Observance on the third Sunday of June was decreed by law in 1972.
Although it was originally largely a religious holiday, Father's Day has been commercialized with the sending of greeting cards and the giving of gifts. Some observe the custom of wearing a red rose to indicate that one's father is living or a white rose to indicate that he is deceased. Other males—for example, grandfathers or uncles who have assumed parenting roles—are often also honoured on the day. Some Roman Catholics have continued to observe the feast day of Saint Joseph, on March 19, as a tribute to fathers. - History Channel
For a lot more info: http://en.wikipedia.org/wiki/Father's_Day
The link above also has Father's Day list for other countries. Very interesting...didnt know everyone celebrated it and Mother's Day as well...
P.S. - You'll have to copy and paste the link, dont know what happened to it, sorry.