Perturbative unification of soft supersymmetry-breaking (SSB) paramete
rs is proposed in gauge-Yukawa unified models, The method, which can b
e applied in any finite order in perturbation theory, consists in sear
ching for renormalization group invariant relations among the SSB para
meters, which are consistent with perturbative renormalizability. For
the minimal gauge-Yukawa unified model based on SU(5) we find that the
low energy SSB sector contains a single arbitrary parameter, the unif
ied gaugino mass. Within a certain approximation we find that the mode
l predicts a superpartner spectrum which is consistent with the experi
mental data.