  The central engine of a Gamma-Ray Burst (GRB) is widely believed to launch a
pair of oppositely moving jets, i.e. the forward jet moving towards us and the
counter jet regressing away. The forward jet generates the radiation typically
observed in GRBs, while the counter jet has not been detected yet due to its
dimness. GRB 170817A, a short burst associated with a binary neutron star
merger event, is a nearby event ($z=0.0097$) with an off-axis structured
energetic forward jet and hence probably the most suitable target for searching
the counter jet radiation. Assuming the same properties for the forward and
counter jet components as well as the shock parameters, the fit to the
multi-wavelength afterglow emission of GRB 170817A suggests a peak time $\sim
{\rm quite~a~few}\times 10^{3}$ day of the counter jet radiation, but the
detection prospect of this new component is not promising. Anyhow, if the shock
parameters ($\epsilon_{\rm e}$ and $\epsilon_{\rm B}$) of the counter jet
component are (a few times) higher than that of the forward shock, as allowed
by the current data and found in previous two-component jet modeling, the
counter jet afterglow emission will be enhanced and hence may be detected. A
few hour exposure by JWST in F356W band will stringently test such a scenario.
