  Many theoretical works have predicted the existence of very high energy ($\rm
VHE:>100 GeV$) $\gamma$-ray emission from Gamma-Ray Bursts (GRBs) in both the
prompt and the afterglow phases. Observation of such high energy emission,
especially in the prompt phase will provide critical information for us to
understand the nature of mechanisms of radiation and jet, Lorentz invariance
violation, relativistic bulk motion, and so on. Years of effort in observing
afterglow phase emission has finally borne fruit recently, yet the prompt
phase's detection has eluded current instruments thus far. A wide field-of-view
(FoV) and large effective area below to tens of GeV are essential to detect VHE
emissions from GRBs in the prompt phase. The High Altitude Detection of
Astronomical Radiation (HADAR) experiment, a wide FoV atmospheric Cherenkov
telescope array, has these virtues. We here report on the estimates of its
annual GRB detection rate. According to the experiment's performance, our
calculations are based on a phenomenological model to generate the pseudo-GRB
population to obtain the number of signals from GRBs and backgrounds, at last,
give the detection rate. Results indicate that detection rate of GRB for HADAR
experiment is about 3 per year, which slightly changes with characteristics of
the VHE extra components of the modeled GRB population. Moveover, the
sensitivity of event fluence of GRBs at different distances is given.
