Dilatonic black hole dyon-like solutions in the gravitational 4d model with a scalar field, two 2-forms, two dilatonic coupling constants λi≠ 0 , i= 1 , 2 , obeying λ1≠ - λ2 and the sign parameter ε= ± 1 for scalar field kinetic term are considered. Here ε= - 1 corresponds to a ghost scalar field. These solutions are defined up to solutions of two master equations for two moduli functions, when λi2≠1/2 for ε= - 1. Some physical parameters of the solutions are obtained: gravitational mass, scalar charge, Hawking temperature, black hole area entropy and parametrized post-Newtonian (PPN) parameters β and γ. The PPN parameters do not depend on the couplings λi and ε. A set of bounds on the gravitational mass and scalar charge are found by using a certain conjecture on the parameters of solutions, when 1+2λi2ε>0, i= 1 , 2. © 2017, The Author(s).