  The presence of nonstandard neutrino interactions (NSI) has a large effect on
the precision measurements at next generation neutrino oscillation experiments.
Other type of experiments are needed to constrain the NSI parameter space. We
study the constraints on NSI with electrons from current and future $e^+e^-$
collider experiments including Belle II, STCF and CEPC. We find that Belle II
and STCF will provide competitive and complementary bounds on electron-type NSI
parameters compared to the current global analysis, and strong improvements for
the constraints on tau-type NSI. In addition, CEPC alone will impose stringent
constraints on the parameter space of NSI with electrons. We find that the
degeneracy between the left-handed (vector) and right-handed (axial-vector) NSI
parameters can be lifted by combining the data from three different running
modes, and the allowed ranges for $|\epsilon_{ee}^{eL}|$
($|\epsilon_{ee}^{eV}|$) and $|\epsilon_{ee}^{eR}|$ ($|\epsilon_{ee}^{eA}|$)
can be constrained to be smaller than 0.002 at CEPC even if both of them are
present.
