Background and Objectives: The early information on both the speed and high morbidity rate and, above all, mortality triggered the symptoms of COVID-19-related panic and anxiety. Dentists were listed in the top five professions with the highest risk of transmission of the virus. The aim of the present study was to investigate the correlation between the fear level of COVID-19 and sociodemographic variables in Polish dentists. Materials and Methods: A cross-sectional study was conducted via an online survey questionnaire with seven statements in the COVID-19 Fear Scale (FCV-19S). The online questionnaire was completed by 356 dentists. The SPSS and PQStat were used to analyze, validate, and assess correlations and logistic regression. Results: In the studied population of dentists, the perceived level of anxiety associated with COVID-19 should be considered relatively low. When the respondents had children, lived with the elderly, or looked after them, the observed level of anxiety was higher, and physical symptoms, such as sweating palms and increased heart rate, occurred. Conclusions: Studies concerning the anxiety level related to COVID-19 carried out among Polish dentists ascertained that the tested level of anxiety among dentists was relatively low. The COVID-19 Fear Scale (FCV-19S) adjusted to the Polish language requirements is a reliable tool that can be used effectively for analyzing the impact of any pandemic on the Polish-speaking population.