  In this article we study weak gravitational lensing of regular Bardeen black
hole which has scalar charge $g$ and mass $m.$ We investigate the angular
position and magnification of non-relativistic images in two cases depending on
the presence or absence of photon sphere. Defining dimensionless charge
parameter $q=\frac{g}{2m}$ we seek to disappear photon sphere in the case of
$|q|>{24\sqrt5}/{125}$ for which the space time metric encounters strongly with
naked singularities. We specify the basic parameters of lensing in terms of
scalar charge by using the perturbative method and found that the parity of
images is different in two cases: (a) The strongly naked singularities is
present in the space time. (b) singularity of space time is weak or is
eliminated (the black hole lens).
