  We discuss the possibility that the X(3872) can be a $D\bar{D}^*$ molecular
bound state in the Bethe-Salpeter equation approach in the ladder and
instantaneous approximations. We show that the $D\bar{D}^*$ bound state with
quantum numbers $J^{PC}=1^{++}$ exists. We also calculate the decay width of
$X(3872) \rightarrow \gamma J/\psi$ channel and compare our result with those
from previous calculations.
