This paper herein studies subcritical crack growth (SCG) behaviour of a perovskite-structured Ba0.5Sr0.5Co0.8Fe0.2O3−δ (BSCF) as an oxygen transport membrane material. The SCG behaviour of BSCF is evaluated by a constant load method and constant stress rate method at room temperature (RT) and 800 °C in air, respectively. The low crack velocity measurements are carried out by ring-on-ring bending tests while the high crack velocity measurements by compact tension tests.The stress rates vary approximately from 0.1012 to 101.2 MPa/min. The fracture stress increases with increasing stress rate at 800 °C. The SCG parameter, n, of BSCF is determined to be 24.32 and 13.83 at RT and 800°C in air, respectively. This indicates that BSCF is more susceptible to SCG at 800°C. The strength-probability-time (SPT) diagram is constructed for design proposes. The stress for a lifetime of 40 years should not exceed 27.21 MPa at RT or 4.53 MPa at 800 °C to assure a failure probability below 1%.