  The decay widths of the 0^{++} and 1^{-+} heavy-light hybrids to B(D) and
pion are calculated by using the QCD sum rules. The interpolated current of the
hybrid is chosen as $g\bar q\gamma_{\alpha}G_{\alpha\mu}^aT^ah_{\it v}(x)$. In
order to simplify the calculation and avoid the ambiguity of three-point
correlation function, a two-point correlation function between the pion and
vacuum is used instead. The decay width of the $0^{++}\to B(D)$ is about 12(16)
MeV while the $1^{-+}\to B(D)$ is around 0.4(1.8) MeV. We keep the leading
order of 1/M_Q expansion in our calculation for convenience.
