The paper briefly describes the slow strain rate testing (SSRT) method used for steels and alloys, considering the stress and strain criteria for assessing the sensitivity of materials to stress corrosion cracking (SCC). We pointed out the clear benefits of the SSRT method over static SCC testing. We reviewed the modern theories of the main possible mechanisms of SCC, typically including alternating stages of anodic dissolution and hydrogen embrittlement during the initiation and propagation of cracks. The given examples indicate that electrochemical studies are necessary to understand the conditions when SCC might develop following one of two mechanisms. Furthermore, we substantiated metallographic analysis and investigations on the fracture surface of the samples to establish the cracking trajectories and the failure behavior. The brief overview presents examples of applying the SSRT method to testing low-alloy, stainless steels, aluminum, and nickel alloys in various corrosive environments.