A single-phase sample of the LaSrCuO3.58 composition is prepared by solid-state synthesis at 1473 K in air. The conductivity of LaSrCuO3.58 is measured by a four-probe method at direct current in the temperature range from 298 to 1173 K at oxygen partial pressures from 28 to 2.1 × 104 Pa. Heating samples above ∼670 K is shown to result in a changeover of the conduction type from semiconducting (p-type) to metallic. Exchange currents at the LSCuO/YSZ interface are measured by impedance spectroscopy. The measurements are carried out in high-density symmetrical cells LSCuO|YSZ|LSCuO, fabricated by hot pressing of powders under a pressure of 3.5 × 109 Pa at 773 K. Experimental exchange currents i 0 (varying from 10−3 to 10−4 A/cm2 in the temperature interval from 800 to 1173 K) are comparable with such of materials based of lanthanum-strontium manganite.