The ionic conductivity along the principal axes a, b, and c of the unit cell of the nonlinear-optical high-resistance KTiOPO_4 single crystals (rhombic syngony, space group Pna 2_1), which are as-grown and after thermal annealing in vacuum, has been investigated by the method of impedance spectroscopy. The crystals were grown from a solution-melt by the Czochralski method. The as-grown KTiOPO_4 crystals possess a quasi-one-dimensional conductivity along the crystallographic c axis, which is caused by the migration of K^+ cations: σ_║ c = 1.0 × 10^–5 S/cm at 573 K. Wherein the characteristics of the anisotropy of ionic conductivity of the crystals is equal to σ_║ c /σ_║ a = 3 and σ_║ c /σ_║ b = 24. The thermal annealing at 1000 K for 10 h in vacuum increases the magnitude of σ_║ c of KTiOPO_4 by a factor of 28 and leads to an increase in the ratio σ_║ c /σ_║ b = 2.1 × 10^3 at 573 K. A crystal-physical model of ionic transport in KTiOPO_4 crystals has been proposed.