  The CP violating processes J/psi-->K_S K_S and psi(2S)-->K_S K_S are searched
for using samples of 58 million J/psi and 14 million psi(2S) events collected
with the Beijing Spectrometer at the Beijing Electron Positron Collider. No
signal is observed, and upper limits on the decay branching ratios are
determined to be BR(J/psi-->K_S K_S) < 1.0x10^{-6} and BR(psi(2S)-->K_S K_S) <
4.6x10^{-6} at the 95% confidence level.
