We have performed a search for B-s(0)->mu(+)mu(-) and B-0 ->mu(+)mu(-) decays in p (p) over bar collisions at root s = 1.96 TeV using 2 fb(-1) of integrated luminosity collected by the CDF II detector at the Fermilab Tevatron Collider. The observed number of B-s(0) and B-0 candidates is consistent with background expectations. The resulting upper limits on the branching fractions are B(B-s(0)->mu(+)mu(-))< 5.8x10(-8) and B(B-0 ->mu(+)mu(-)) < 1.8 x 10(-8) at 95% C.L.
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