Background: Healthcare workers in resource-constrained settings experience significant occupational stressors that may influence coping behaviours and psychological wellbeing. Objective: To examine the relationship between frustration, sociodemographic characteristics, and coping styles among healthcare workers in a tertiary hospital in North-Central Nigeria. Methods: A cross-sectional analytical study was conducted among 385 healthcare workers using stratified sampling. Data were collected using a structured questionnaire, the Basic Psychological Need Satisfaction and Frustration Scale (BPNSFS), and the Brief COPE inventory. Descriptive statistics summarized participant characteristics and workplace stressors. Pearson and partial correlation analyses assessed relationships between frustration and coping styles. Multiple linear regression identified independent predictors of maladaptive coping. Statistical significance was set at p < 0.05. Results: Workplace frustration was highly prevalent, driven by workload, inadequate equipment, and poor remuneration. Adaptive coping strategies predominated, particularly active coping, planning, and religious coping. Frustration was not associated with adaptive coping (r = –0.017, p = 0.737) but was significantly associated with maladaptive coping (r = 0.266, p < 0.001). This relationship remained significant after adjusting for sociodemographic variables (r = 0.241, p < 0.01). Regression analysis showed that frustration independently predicted maladaptive coping (β = 0.266, p < 0.001), while longer professional experience was protective. Conclusion: Healthcare workers demonstrated resilience through adaptive coping strategies; however, increased frustration is associated with greater reliance on maladaptive coping. Addressing structural stressors is essential to improve coping and wellbeing.