  In this paper, the annihilation of dark matter $f_d\epsilon_0$ with nonzero
equation of state $w_{dm}$ was studied by using the currently available cosmic
observations which include the geometric and dynamic measurements. The
constrained results show they are anti-correlated and are
$w_{dm}=0.000390_{-0.000753}^{+0.000754}$ and
$f_d\epsilon_0=1.172_{-1.172}^{+0.243}$ respectively in $1\sigma$ regions. With
the including of possible annihilation of dark matter, no significant deviation
from $\Lambda$CDM model was found in the $1\sigma$ region.
