Breast cancer, the major concern of the global health, is the fifth cause of death of women in Iran. In this longitudinal study, 3048 cases of breast cancer who visited and were treated at the Cancer Research Center in Shahid Beheshti University, were studied. During study, 518 patients died. The overall survival rate of 1, 5, 10, 15, and 20-year were 95%, 76%, 59%, 47% and 46%, respectively. A significant relation was observed between survival time and the variables such as age, size of tumor, number of lymph nodes, stage, grade, and lymphovascular invasion. K E Y W O R D S breast cancer, cure fraction models, generalized Birnbaum-Saunders, negative binomial, survival probability 1 | INTRODUCTION Breast cancer is the second cause of cancer mortality worldwide and the fifth cause of mortality in Iranian women. 1-8 Based on the 2016statistics, the 5-year survival rate for breast cancer were 73% and 53% for the developed and developing countries respectively. 9The incidence of breast cancer in Iran was 7582 cases (23% of total cancers in women) in 2009 and its age was unfortunately decreasing. 1The 1-year,3-year, 5-year, and 10-year survival rate of breast cancer in