A shoulder brace consists of a figure "8" strap tensioned between a lower loop anchored around a thigh and a collar or sleeve worn on an opposite upper arm corresponding to an injured shoulder so as to extend the upper loop diagonally across the torso, thereby immobilizing the upper arm to prevent shoulder abduction and external rotation after, for example, shoulder dislocation. The upper and lower loops crossover adjacent the hip, with lower loop snugged under the crotch so as to allow relatively unrestricted movement of the thigh, for example, during exercise. The shoulder brace is thus well adapted for use as a sports brace.