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We report on searches for B- --> Ds- Phi and B- --> Ds*- Phi. In the
context of the Standard Model, these decays are expected to be highly
suppressed since they proceed through annihilation of the b and u-bar
quarks in the B- meson. Our results are based on 234 million
Upsilon(4S) --> B Bbar decays collected with the BABAR detector at
SLAC. We find no evidence for these decays, and we set Bayesian 90%
confidence level upper limits on the branching fractions BF(B- --> Ds-
Phi) < 1.9x10^{-6} and BF(B- --> Ds-* Phi) < 1.2x10^{-5}. These
results are consistent with Standard Model expectations.
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