A summary of recent results on B rare decays from the CDF and
D0 experiments operating in Run II of the Fermilab Tevatron is given;
analyzed decay modes are B(d),s --> hh, B(d),s --> mu+ mu-,
and B --> mu+ mu- h.  Data samples are relative to 1 fb-1 or more
integrated luminosity of p anti-p collisions at s**(1/2) = 1.96 TeV.
All reported results are in agreement with Standard Model predictions
and consistent with B-Factories analyzes.