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We discuss the post-Newtonian (PPN) limit of a recently constructed class of scalar-torsion theories of gravity which is parametrized by five free functions of the scalar field. Using decomposition of field equations into velocity orders and modern values of PPN parameters we impose restrictions on the free functions of the scalar field. For the massless scalar field we obtain the full set of the PPN parameters, and for the massive case, - parameter γ. Our results show that for the massless scalar field only the parameters β and γ deviate from their general relativity values and other PPN parameters vanish identically like in GR, what means there are no preferred frame/location effects and no violations of conservation laws. Using specific choice of the free functions we get the PPN limit of some example theories.