  We study the structure of the soft SUSY-breaking terms obtained from 4-D
Strings under the assumption of dilaton/moduli dominance in the process of SUSY
breaking. We first analyze in detail the dilaton-dominated limit because of its
finiteness properties and phenomenological predictivity, and second, we
consider the new features appearing when several moduli fields contribute to
SUSY breaking. In particular, we discuss in detail the case of symmetric
Abelian orbifolds. Although some qualitative features indeed change in the
multimoduli case with respect to the dilaton dominance one, the most natural
mass relations at low-energy, $m_l < m_q \simeq M_g$, are still similar. Only
in some very specific limits these relations might be reversed. We also study
the presence of tachyons pointing out that their possible existence may be, in
some cases, an interesting advantage in order to break extra gauge symmetries.
Finally, we compute explicitly the $\mu$ and $B$ parameters in the context of
the mechanism for generating a ``$\mu $-term'' by the K\"ahler potential, as
naturally implemented in orbifolds. It leads to the prediction $|tg\beta |=1$
at the String scale, independently of the Goldstino direction. It is worth
noticing that in this squeme the dilaton-dominated case, where there is no free
parameters, is excluded since it is not consistent with the measured value of
the top-quark mass. In this connection, low-energy charge and color breaking
minima are also discussed.
