  In this work, we study the weak and strong gravitational lensing in the
presence of an accelerating black hole in a universe with positive cosmological
constant $\Lambda$. First of all, we derive new perturbative formulae for the
event and cosmological horizons in terms of the Schwarzschild, cosmological and
acceleration scales. In agreement with previous results in the literature, we
find that null circular orbits for certain families of orbital cones
originating from a saddle point of the effective potential are allowed and they
do not exhibit any dependence on the cosmological constant. They turn out to be
Jacobi unstable. We also show that it is impossible to distinguish a $C$-black
hole from a $C$-black hole with $\Lambda$ if we limit us to probe only into
effects associated to the Sachs optical scalars. This motivates us to analyze
the weak and strong gravitational lensing when both the observer and the light
ray belong to the aforementioned family of invariant cones. In particular, we
derive analytical formulae for the deflection angle in the weak and strong
gravitational lensing regimes.
