The world is social distancing and compulsory confinement has caused stress, psychological instability, stigmatization, fear, and discrimination in the general population. In this cross-sectional survey study, we administered the Fear of COVID-19 Scale (FCV-19S) to hospital medical and nonmedical personnel. A total of 1,216 participants were included in the study. We found that the global FCV-19S mean score was 16.4 ± 6.1, with a significant difference between women and men’s scores. Medical students presented higher scores than experienced medical personnel. As the medical and nursing personnel scored higher on the FCV-19S than the nonmedical hospital staff, our findings suggest that greater knowledge of medicine or infectious diseases could decrease the overall psychological impact of the pandemic disease.