  The branching ratio of the rare decay pi^0 -> e^+e^- has been measured in
E799-II, a rare kaon decay experiment using the KTeV detector at Fermilab. The
pi^0's were produced in fully-reconstructed K_L -> 3 pi^0 decays in flight. We
observed 275 candidate pi^0 -> e^+e^- events, with an expected background of
21.4 +- 6.2 events which includes the contribution from Dalitz decays. We
measured BR(pi^0 -> e^+e^-, x>0.95) = (6.09 +- 0.40 +- 0.24) times 10^{-8},
where the first error is statistical and the second systematic. This result is
the first significant observation of the excess rate for this decay above the
unitarity lower bound.
