The purpose of this study is to identify the factors related to the risk of depression in single-person households aged 65 or older and the elderly married couples, focusing on leisure activities and social contact factors. For this study, the data of 7,595 people selected according to the criteria for selecting subjects for this study were analyzed out of 10,097 participants in the 2020 Survey of the Elderly conducted by the Ministry of Health and Welfare and the Institute for Health and Social Affairs. For data analysis, frequency and percentage, mean and standard deviation, chi^2-test, independent sample T-test, and dichotomous logistic regression analysis were performed using the IBM SPSS Statistics Version 23.0 program. As a result, the risk of depression was statistically significantly lower in the case of leisure activities regardless of type than in the case of no leisure activities, and watching performances and sports games, and static entertainment activities were the most related factors to the risk of low depression. On the other hand, the frequency of meetings with children was not a significant factor related to the risk of depression, and frequent phone calls were a significant factor related to the risk of low depression. Meeting friends more than twice a week was a significant association factor with the low risk of depression, but phone calls with friends more than twice a week increased the risk of depression by 1.70 times. Therefore, in order to reduce the depression of the elderly in the increasing number of single-person or married households, it is necessary to encourage them to participate in any leisure activities and come up with measures to maintain social contact.