Electrical conductivity relaxation experiments were performed on thin specimens of La1–xSrxFeO3–delta (x = 0.1, 0.4) at oxygen partial pressures pO2 = 10–5 – 1 bar in the temperature range 923 to 1223 K. The transient response of the electrical conductivity after a sudden change of the ambient oxygen partial pressure was analyzed in the frequency domain. The latter procedure allowed diffusion-limited and surface exchange-limited kinetics of re-equilibration to be distinguished. The response of specimens with thicknesses of 350 to 460 µm indicated diffusion-controlled kinetics at pO2 > 0.03 bar. The chemical diffusion coefficients, D-tilde , were found invariant with oxygen pressure. At 1073 K the absolute values were D-tilde = 6.5 × 10–6 cm2 s–1 for x = 0.1 and D-tilde = 1.1 × 10–5 cm2 s–1 for x = 0.4, with activation energies of about 80 kJ/mol. The equilibration process was governed by surface exchange at pO2 < 0.01 bar. The surface exchange coefficient, kO, was proportional to p<sub>O[sub 2]</sub><sup>n</sup>, where n = 0.65 to 0.85. This pressure dependency was interpreted in terms of a slow surface process involving an oxygen molecule and a surface oxygen vacancy, and causes the observed sharp transition from diffusion- to exchange-controlled kinetics. The activation energy of kO was estimated at 110 to 135 kJ/mol.