  We study the parameterized post-Newtonian approximation in teleparallel model
of gravity with a scalar field. The scalar field is non-minimally coupled to
the scalar torsion as well as to the boundary term introduced in [1]. We show
that, in contrast to the case where the scalar field is only coupled to the
scalar torsion, the presence of the new coupling affects the parameterized
post-Newtonian parameters. These parameters for different situations are
obtained and discussed.
