Background Stress is prevalent among college students, impacting their mental health and academic performance. Understanding the distribution and determinants of stress levels in students is crucial for developing effective interventions. This study aims to assess the prevalence of stress and its association with sociodemographic factors among undergraduate students at St. John's College, Agra, India. Materials and methods A descriptive cross-sectional study was conducted between August 1, 2023, and December 31, 2023, involving 160 undergraduate students from B.A., B. Com., and B.Sc. programs. Students were selected using a stratified random sampling technique. Stress levels were measured using the Perceived Stress Scale (PSS), which classifies low, moderate, and high levels. Data were collected through a validated, semi-structured questionnaire administered via Google Forms. Statistical analysis was performed using IBM SPSS Statistics for Windows, Version 29 (Released 2023; IBM Corp., Armonk, New York), with descriptive statistics and chi-square tests used to examine associations between stress levels and sociodemographic variables. Results The study found that 103 (64.4%) of students experienced moderate stress, 34 (21.3%) reported high perceived stress, and 23 (14.4%) had low stress. A significant association was observed between stress levels and gender (p = 0.022), with female students more likely to experience high stress. Additionally, urban students reported higher stress levels than their rural counterparts (p = 0.012). However, no significant differences in stress levels were found across different courses. Conclusion The study reveals a substantial prevalence of moderate to high stress among college students, particularly among females and those from urban areas. These findings suggest the need for targeted stress management interventions to support student well-being. Further research is recommended to explore the underlying causes of stress and develop comprehensive stress reduction strategies in the student population.