(1) Objectives: To investigate the difference in prevalence of depression between patients with CL/P (cleft lip and/or palate) and analyze the possible demographic factors that affect the prevalence of depression in Chinese patients with CL/P. (2) Methods: Patients with CL (cleft lip only), CP (cleft palate), and CLP (cleft lip and palate) were included in the study group. Non-CL/P individuals were included in the control group. The Patient Health Questionnaire (PHQ-9) was used to screen the depression of Chinese patients with CL/P. The different proportions of different depression groups between the CL/P group and the control groups were tested by the Fisher–Freeman–Halton test and Bonferroni correction. The scores between the study groups and the control group were analyzed by one-way ANOVA. In the study groups, demographic and clinical data of the patients, including diagnosis (CL, CP, CLP), gender, age, the only child or not, and region were collected to analyze whether they were the possible factors affecting depression through one-way independent-samples t-test. Pearson correlation analysis was used to analyze the correlation between monthly family income and depression. (3) Results: 111 and 80 valid questionnaires were collected from the study and control groups, respectively. The mean PHQ-9 score of the study group (5.459 ± 6.082) was relatively higher than the control group (4.362 ± 3.384), and the difference in proportions of depression groups was statistically significant between the CL/P group and the control group (p = 0.01), especially in the mild depression (p < 0.05) and moderately severe depression groups (p < 0.05). Statistically significant differences in PHQ-9 scores were observed between the individuals of different genders (p = 0.036) and ages (p = 0.007) in patients with CL/P, the individuals who were the only child or not in patients with CL (p = 0.007), and the individuals of different ages in patients with CP (p = 0.016). (4) Conclusions: The prevalence of depression in Chinese patients with CL/P was different compared with those without CL/P, while gender, age, the only child or not, and region played significant roles in affecting depression psychology.