No, the final copies are written on parchment paper (animal skin). It was rumored to be drafted on Dutch hemp paper, however, according to Monticello.org, it was more likely to have been made from flax or linen.
Nope sorry parchment paper BUT!!! THE DRAFTS OF CONSTITUTION
BILL OF RIGHTS AND ONE MORE WERE ALL ON HEMP.
"herb the gift is from the earth and whats from the earth is the Greatest worth"
According to ChaCha (http://www.chacha.com/question/what-type-of-paper-is-the-united-states-constitution-written-on) there was a myth that the constitution was written on hemp grown by the founding...