A method of treating anxiety disorders specifically not associated with causes such as a life-threatening serious somatic illness, by administering a psychedelic to an individual, and treating anxiety and specifically causing reductions in the rating scale score measures of anxiety (STAI global or state or trait anxiety) and/or measures of depression (HDRS or BDI scores) and/or measures of general psychological distress (SCL-90 ratings) in the patient for several weeks beyond administration of the psychedelic. A method of treating anxiety, by administering a psychedelic (preferably LSD) to an individual having anxiety not associated with causes such as a life-threatening serious somatic illness, and inducing positive acute drug effects and positive long-term therapeutic effects in the individual.