  We present a new class of asymptotically flat charge static solutions in
third order Lovelock gravity. These solutions present black hole solutions with
two inner and outer event horizons, extreme black holes or naked singularities
provided the parameters of the solutions are chosen suitable. We find that the
uncharged asymptotically flat solutions can present black hole with two inner
and outer horizons. This kind of solution does not exist in Einstein or
Gauss-Bonnet gravity, and it is a special effect in third order Lovelock
gravity. We compute temperature, entropy, charge, electric potential and mass
of the black hole solutions, and find that these quantities satisfy the first
law of thermodynamics. We also perform a stability analysis by computing the
determinant of Hessian matrix of the mass with respect to its thermodynamic
variables in both the canonical and the grand-canonical ensembles, and show
that there exists only an intermediate stable phase.
