  We present explicit black holes endowed with primary scalar hair within the
shift-symmetric subclass of Beyond Horndeski theories. These solutions depend,
in addition to the conventional mass parameter, on a second free parameter
encoding primary scalar hair. The properties and characteristics of the
solutions at hand are analyzed with varying scalar charge. We observe that when
the scalar hair parameter is close to zero or relatively small in comparison to
the black hole mass, the solutions closely resemble the Schwarzschild
spacetime. As the scalar hair increases, the metric solutions gradually depart
from General Relativity. Notably, for a particular relation between mass and
scalar hair, the central singularity completely disappears, resulting in the
formation of regular black holes or solitons. The scalar field accompanying the
solutions is always found to be regular at future or past horizon(s), defining
a distinct time direction for each. As a final byproduct of our analysis, we
demonstrate the existence of a stealth Schwarschild black hole in Horndeski
theory with a non-trivial kinetic term.
