  We discuss new exact spherically symmetric static solutions to non-minimally
extended Einstein-Yang-Mills equations. The obtained solution to the Yang-Mills
subsystem is interpreted as a non-minimal Wu-Yang monopole solution. We focus
on the analysis of two classes of the exact solutions to the gravitational
field equations. Solutions of the first class belong to the
Reissner-Nordstr{\"o}m type, i.e., they are characterized by horizons and by
the singularity at the point of origin. The solutions of the second class are
regular ones. The horizons and singularities of a new type, the non-minimal
ones, are indicated.
