  We calculate the width difference of the scalar electron decay,
$\Gamma(\tilde e_L \to e_L\omega) - \Gamma({\bar{\tilde e}}_L \to \bar
e_L\omega)$ in the softly broken supersymmetrized standard model. The CP
asymmetry is assumed to arise from the complex gaugino masses. Even in limit
that the electron mass $m_e$ is vanishing, the difference can be of the order
of $\alpha$.
