  We present the results of a search for low energy $\bar{\nu}_e$ from the Sun
using 1496 days of data from Super-Kamiokande-I. We observe no significant
excess of events and set an upper limit for the conversion probability to
$\bar{\nu}_e$ of the $^8$B solar neutrino. This conversion limit is 0.8% (90%
C.L.) of the standard solar model's neutrino flux for total energy = 8 MeV --
20 MeV. We also set a flux limit for monochromatic $\bar{\nu}_e$ for
$E_{\bar{\nu}_e}$ = 10 MeV -- 17 MeV.
