Purpose: The knowledge, attitudes, and behavior of young Italians towards the COVID-19 vaccination were analyzed in order to provide information useful to elaborate the strategies that can be implemented to obtain the best possible vaccination coverage in this population. Methods: A cross-sectional study was conducted on 5313 young people aged between 11 and 30 years. Data were collected through an online survey during the period from 1 to 10 March 2021. The answers to the questionnaire were analyzed using SPSS statistical software. Intention to vaccinate was studied by univariate analysis using Pearson’s chi-square test to assess differences between groups for categorical variables, and by multivariate analysis applying the binary logistic regression model, and the Hosmer–Lemeshow test was performed to assess goodness of fit. Results: Television (32.1%), internet/search engine (25.9%), and social networks (10.4%) were the main sources of information for young Italians. The survey analysis showed that 74.5% (3956) of the respondents were willing to be vaccinated against COVID-19 versus 25.5% (1357) who were against it. Demographic data, in particular, age, gender, experience with influenza vaccine, and level of knowledge about the disease, were significant determinants (p < 0.001) for the choice to vaccinate against COVID-19. Discussion: These results suggest that in order to implement the vaccination campaign, correct information is needed to improve awareness of the vaccine and COVID-19, while also taking into account the target group, which differs not only in age but also in the sources of information used compared to the adult population.