We have searched for B0 decays to two charged leptons and set 90% conf
idence level upper limits on the branching fractions: B(B0 --> e+e-) <
5.9 x 10(-6), B(B0 --> mu+mu-) < 5.9 x 10(-6), B(B0 --> e+/- mu-/+) <
5.9 x 10(-6), B(B0 --> e+/-tau-/+) < 5.3 X 10(-4), and B(B0 --> mu+/-
tau-/+) < 8.3 x 10(-4).