The article is focuses at aspects of resistance to psychical stress in cyclists with a disability in the context of substance abuse stimulant effect. The first part includes knowledge about cycling of handicapped and the effect of stimulants at the sports achievement. The article also describes selected constructs of resistance to the psychical stress, like dispositional optimism. The empirical part includes descriptive data from respondents from sports environment. The data on the level of arousability and dispositional optimism are interpreted in the context of substance use by respondents to effect sports achievement. The data are compared with the data of cyclists without handicap.