  We have searched with the KLOE detector for the P and CP violating decay eta
-> pi^+pi^- in a sample of 1.55 x 10^7 eta's from the decay phi -> eta gamma of
phi mesons produced in e+e- annihilations at DAFNE. No signal is found. We
obtain the upper limit BR(eta -> pi^+pi^-) < 1.3 x 10^-5 at 90% confidence
level.
