  A class of exact static spherically symmetric solutions of the
Einstein-Maxwell gravity coupled to a massless scalar field has been obtained
in harmonic coordinates of the Minkowski space-time. For each value of the
coupling constant $a$, these solutions are characterized by a set of three
parameters, the physical mass $\mu_0$, the electric charge $Q_0$ and the scalar
field parameter $k$. We have found that the solutions for both gravitational
and electromagneticfields are not only affected by the scalar field, but also
the non-trivial coupling with matter constrains the scalar field itself. In
particular, we have found that the constant $k$ generically differs from $\pm
1/2$, falling into the interval $|k|\in [0, {1\over2}\sqrt{1+a^2} \hskip 2pt
]$. It takes these values only for black holes or in the case when a scalar
field $\phi$ is totally decoupled from the matter. Our results differ from
those previously obtained in that the presence of arbitrary coupling constant
$a$ gives an opportunity to rule out the non-physica horizons. In one of the
special cases, the obtained solution corresponds to a charged dilatonic black
hole with only one horizon $\mu_+$ and hence for the Kaluza-Klein case. The
most remarkable property of this result is that the metric, the scalar
curvature, and both electromagnetic and scalar fields are all regular on this
surface. Moreover, while studying the dilaton charge, we found that the
inclusion of the scalar field in the theory result in a contraction of the
horizon. The behavior of the scalar curvature was analyzed.
