Wave Dark Matter ( WaveDM ) has recently gained attention as a viable candidate to account for the dark matter content of the Universe . In this paper we explore the extent to which , and under what conditions , dark matter halos in this model are able to reproduce strong lensing systems . First , we explore analytically the lensing properties of the model , finding that a pure WaveDM density profile , soliton profile , produces a weaker lensing effect than similar cored profiles . Then we analyze models with a soliton embedded within an NFW profile , as has been found in numerical simulations of structure formation . We use a benchmark model with a boson mass of m _ { a } = 10 ^ { -22 } { eV } , for which we see that there is a bi-modality in the contribution of the external NFW part of the profile , and some of the free parameters associated with it are not well constrained . We find that for configurations with boson masses 10 ^ { -23 } – 10 ^ { -22 } { eV } , a range of masses preferred by dwarf galaxy kinematics , the soliton profile alone can fit the data but its size is incompatible with the luminous extent of the lens galaxies . Likewise , boson masses of the order of 10 ^ { -21 } { eV } , which would be consistent with Lyman- \alpha constraints and consist of more compact soliton configurations , necessarily require the NFW part in order to reproduce the observed Einstein radii . We then conclude that lens systems impose a conservative lower bound m _ { a } > 10 ^ { -24 } { eV } and that the NFW envelope around the soliton must be present to satisfy the observational requirements .