This study was attempted to provide the basic data for nursing intervention to improve the psychosociological adaptation of patients receiving chemotherapy for breast cancer by examining relationship between anxiety and hopelessness that they are experiencing and family support, in order to help them successfully cope with various psychological problems. This study was carried out with 93 breast cancer patients who are receiving chemotherapy in the injection treatment room of K University Hospital located in the downtown of Taegu after having underwent mastectomy in the hospital between December 1995 and August 1996. This study used the systematized questionnaires which contain 7 questions about general characteristics, Spielberger's trait anxiety & state anxiety scale, the tool that WON(1987) modified the hopelessness scale which was developed by Beck et al.(1967) and the family support tool made by TAE(1985). By using the SPSS/PC program, this study obtained the real number and percentage for the general characteristics of the subjects, and mean and standard variation for the degrees of trait anxiety, state anxiety, hopelessness and family support. The correlation between each variables was identified on the basis of the Pearson Correlation, and the degrees of trait anxiety, state anxiety, hopelessness and family support in the general characteristics of the subjects were analyzed by using the t-test, ANOVA, and Duncan test. The results of this study were summarized as follows. In the general characteristics of the subjects, most of each group were 51 years old or more and the middle class in income, had educational background under elementary school, no job, Buddhism in religion and spouse, and were receiving chemotherapy using MTX and 5FU. It was shown that the degree of the subjects' trait anxiety is, on an average, 50. 29, state anxiety 49. 68, hopelessness 51. 46 and family support 34. 28. Both trait anxiety and hopelessness showed normal correlation ; the higher the degree of trait anxiety is, the higher the degree of hopelessness is, while trait anxiety and family support showed reverse correlation ; the higher the degree of trait anxiety, the lower the degree of family support that the subjects perceive is. State anxiety and hopelessness also showed normal correlation ; the higher the degree of state anxiety is, the higher the degree of hopelessness is. Family support and hopelessness showed reverse correlation ; the higher the degree of family support is, the lower the degree of hopelessness that the subjects perceive is. And family support and state anxiety showed reverse correlation but there was a statistically significant difference. The degree of trait anxiety in the general characteristics of the subjects showed a significant difference by age, job and religion, the degree of state anxiety a signigicant difference by job and religion, the degree of hopelessness a signigicant difference by age, educational background and existence or not of spouse. In conclusion, the breast cancer patients receiving chemotherapy perceive anxiety and hopelessness due to several causes such as diagnosis itself or side effects of chemotherapy, so that it is required not only to develop specific nursing interventions including family support to alleviate anxiety and hopelessness but also to apply such interventions to clinical practice.