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It is a well--known problem that in supersymmetric models there are newCP--violating phases which, if unsuppressed, would give a neutron electricdipole moment $10^2$ to $10^3$ times the present experimental limit. Here wepropose that these new phases are suppressed by CP invariance, which is brokenspontaneously at a high scale and that this breaking shows up at low energiesonly through a universal phase of the gaugino masses. It is shown that this canwell fit both $\epsilon$ and $\epsilon^\prime$ of the neutral Kaon system. Theelectric dipole moments of the neutron and the electron should be not muchbelow present limits. A model incorporating these ideas in a very economicalway is presented.Comment: 14 pages in Plain LaTeX, BA-93-48, 6 figures (Feynman diagrams) not  included, available on reques

Solution to the small-phase problem of supersymmetry