  We generalize the quasilocal definition of the stress energy tensor of
Einstein gravity to the case of third order Lovelock gravity, by introducing
the surface terms that make the action well-defined. We also introduce the
boundary counterterm that removes the divergences of the action and the
conserved quantities of the solutions of third order Lovelock gravity with zero
curvature boundary at constant $t$ and $r$. Then, we compute the charged
rotating solutions of this theory in $n+1$ dimensions with a complete set of
allowed rotation parameters. These charged rotating 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 compute temperature, entropy, charge, electric potential, mass and
angular momenta of the black hole solutions, and find that these quantities
satisfy the first law of thermodynamics. We find a Smarr-type formula and
perform a stability analysis by computing the heat capacity and the determinant
of Hessian matrix of mass with respect to its thermodynamic variables in both
the canonical and the grand-canonical ensembles, and show that the system is
thermally stable. This is commensurate with the fact that there is no
Hawking-Page phase transition for black objects with zero curvature horizon.
