  In this paper, we investigate the gravitational lensing effect for the
Schwarzschild-like black hole spacetime in the background of a Kalb-Ramond (KR)
field proposed in [K. Yang et. al., Phys. Rev. D 108 (2023) 124004]. The
solution is characterized by a single extra parameter $l$, which is associated
to the Lorentz symmetry breaking induced by the KR field. First, we calculate
the exact deflection angle of massive and massless particles for finite
distances using elliptic integrals. Then we study this effect in the weak and
strong field regimes, discussing the correction of the KR parameter on the
coefficients of the expansions in both limits. We also find that increasing $l$
decreases the deflection angle. Furthermore, we use the available data from the
Sagittarius $A^{\star}$ object, which is believed to be a supermassive black
hole at the center of our galaxy, to calculate relevant observables, such as,
the image position, luminosity, and delay time. The values found could be
potentially measured in the weak field regime, though for strong fields one
would have to wait for the next generation of interferometers.
