  In this paper, we study the deflection of light by a class of phantom black
hole and wormhole solutions in the weak limit approximation. More specifically,
in the first part of this work, we study the deflection of light by
Garfinkle-Horowitz-Str\"{o}minger black hole and Einstein-Maxwell anti-dilaton
black hole using the optical geometry and the Gauss-Bonnet theorem. Our
calculations show that gravitational lensing is affected by the phantom scalar
field (phantom dilaton). In the second part of this work, we explore the
deflection of light by a class of asymptotically flat phantom wormholes. In
particular, we have used three types of wormholes: wormhole with a
bounded/unbounded mass function, and a wormhole with a vanishing redshift
function. We show that the particular choice of the shape function and mass
function plays a crucial role in the final expression for the deflection angle
of light. In the third part of the paper, we verify our findings with the help
of standard geodesics equations. Finally, in the fourth part of this paper, we
consider the problem for the observational relevance of our results studying
the creation of the weak field Einstein rings.
