  The Sivers function, an asymmetric transverse-momentum distribution of the
quarks in a transversely polarized nucleon, is calculated in the MIT bag model.
The bag quark wave functions contain both $S$-wave and $P$-wave components, and
their interference leads to nonvanishing Sivers function in the presence of the
final state interactions. We approximate these interactions through one-gluon
exchange. An estimate of another transverse momentum dependent distribution
$h_1^\perp$ is also performed in the same model.
