  Gravitational waves emitted from stellar binary black hole (sBBH) mergers can
be gravitationally lensed by intervening galaxies and detected by future
ground-based detectors. A large amount of effort has been put into the
estimation of the detection rate of lensed sBBH originating from the evolution
of massive binary stars (EMBS channel). However, sBBHs produced by the
dynamical interaction in dense clusters (dynamical channel) may also be
dominant in our universe and their intrinsic distribution of physical
properties can be significantly different from those produced by massive stars,
especially mass and redshift distribution. In this paper, we investigate the
event rate of lensed sBBHs produced via dynamical channel by Monte Carlo
simulations and the number is $16_{-12}^{+4.7} $ $\rm yr^{-1}$ for the Einstein
telescope and $24_{-17}^{+6.8}$ $ \rm yr^{-1}$ for Cosmic Explorer, of which
the median is about $\sim 2$ times the rate of sBBHs originated from EMBS
channel (calibrated by the local merger rate density estimated for the
dynamical and the EMBS channel, i.e., $\sim 14_{-10}^{+4.0}$ and
$19_{-3.0}^{+42} \rm Gpc^{-3}yr^{-1}$ respectively). Therefore, one may
constrain the fraction of both EMBS and dynamical channels through the
comparison of the predicted and observed number of lensed sBBH events
statistically.
