The purpose of this research study was to compare the treatment effects of relaxation therapy and the tranquilizing agent Chlordiazepoxide (Librium). The subjects were 37 hospitalized alcoholics who had been identified as anxious. Elevations of scales two and seven of the MMPI was used as a criterion of anxiety. Thirteen subjects were given Librium, 12 were given a placebo, 12 were given nine sessions of relaxation therapy. Although the results did not indicate significant differences among the three groups, the relaxation group showed the least amount of anxiety at post-testing. It was concluded that relaxation therapy was equal to drug therapy in effectiveness and thus more desirable due to the lack of undesirable side effects. Suggestions for further research were given.