Thank you so much! I hope you have a Very Wonderful Teachers Day also.
In answer to your question, do we celebrate Teachers Day? Yes. The "National Education Association" in the US celebrated National Teachers Day on May 8th this year. On this day thousands of communities take the time to honor their local educators and acknowledge the important role they play. You can go to their website to see more about how they do this by visiting, http://www.nea.org/grants/1359.htm
We also observe Teacher Appreciation Week which would have been May 7-11 so that National Teacher Day falls in the middle of it. This is a weeklong celebration, observed by the giving of Teacher Gifts, Awards, and Recognition and in some schools choosing a Teacher of the Day or year.
I understand the UNESCO (United Nations Educational, Scientific and Cultural Organization), also celebrates a "World Teacher Day". This is celebrated annually on October 5th and has been since 1994. You can learn more about this event at http://www.5oct.org
I hope this answers your question and hope you have a wonderful day!