  We present one-loop corrections to the Higgs boson masses in the MSSM with
Non-Minimal Flavor Violation. The flavor violation is generated from the
hypothesis of general flavor mixing in the squark mass matrices, and these are
parameterized by a complete set of delta^XY_ij (X, Y = L,R; i; j = t, c, u or
b, s, d). We calculate the corrections to the Higgs masses in terms of these
delta^XY_ij taking into account all relevant restrictions from B-physics data.
This includes constraints from BR(B -> Xs gamma), BR(Bs -> mu+ mu-) and delta
M_B_s . After taking into account these constraints we find sizable corrections
to the Higgs boson masses, in the case of the lightest MSSM Higgs boson mass
exceeding tens of GeV. These corrections are found mainly for the low tan beta
case. In the case of a Higgs boson mass measurement these corrections might be
used to set further constraints on delta^XY_ij.
