  We study the four-body exclusive semileptonic baryonic $\bar B$ decays of
$B^-\to p\bar p \ell^- \bar\nu_{\ell}$ ($\ell=e,\mu,\tau$) in the standard
model. We find that their decay branching ratios are about $(1.0,
1.0,0.5)\times 10^{-4}$, respectively. In particular, the electron mode is
close to the corresponding CLEO's upper limit of $5.2\times 10^{-3}$, while all
results are about one or two orders of magnitude larger than the previous
estimated values for the inclusive modes of $\bar B\to {\bf B\bar B'}\ell \bar
\nu$. Clearly, both B-factories of Belle and BaBar should be able to observe
these exclusive four-body modes.
