  The cross sections of $B_{c}$\ absorption by $\pi $ mesons are calculated
using hadronic Lagrangian based on SU(5) flavor symmetry. Calculated cross
sections are found to be in range 2 to 7 mb and 0.2 to 2 mb for the processes
$B_{c}^{+}\pi \rightarrow DB$ and $B_{c}^{+}\pi \rightarrow D^{\ast}B^{\ast}$
respectively, when the monopole form factor is included. These results could be
useful in calculating production rate of $B_{c}$ meson in relativistic heavy
ion collisions.
