Psychology deals with not only mental disorders but also psychological strengths within individuals. Psychological strengths will play an important role in struggling with the global novel coronavirus 2019 (COVID-19) pandemic. The present study tested a model concerning the relationship between resilience, hope, and subjective happiness using structural equation modeling to identify the mediating role of fear of COVID-19. A cross-sectional survey was conducted among a convenience sample of 971 Turkish individuals (aged 18 to 74 years) from 75 of 81 cities in Turkey. The survey included the Subjective Happiness Scale, Fear of COVID-19 Scale, Brief Resilience Scale, and the Dispositional Hope Scale, and data were analyzed using structural equation modeling (SEM). The SEM demonstrated an association between resilience-hope and subjective happiness was mediated by fear of COVID-19 (CMIN/df = 2.664, CFI = 0.994, NFI = 0.984, TLI = 0.984, GFI = 0.994, RMSEA = 0.044, SRMR = 0.024, AIC = 81.334, ECVI = 0.084). Resilience had a direct effect and an indirect effect on subjective happiness via fear of COVID-19. Hope also had a direct effect and an indirect effect on subjective happiness via fear of COVID-19. Consequently, in the fight against COVID-19, individuals who are resistant to stress and have a belief that they can find a way to cope can help prevent the fear of COVID-19 and so enhance good mental health.