Background: During the ongoing COVID-19 pandemic, trust within a community in the projected schemes or strategies to combat COVID-19 depends on the confidence generated and launched by the government and medical employees toward the public. The “vaccination intention” within a community is determined by a range of factors, which include sociodemographic features, personal beliefs, and attitude toward vaccination. Methods: A nationwide survey was conducted involving 2000 people using a Tencent questionnaire platform. One-way ANOVA was conducted for age, education, and occupation with vaccination intention for the COVID-19 vaccine. Correlation analysis was conducted between sources, trust, and vaccination intention indicating both types of sources (official and unofficial sources) and both types of trust (trust in the social environment and in vaccines). Results: The reception of the sources of information on the COVID-19 vaccine was significantly higher from official sources (M = 5.54, SD = 1.37) and government officials (M = 5.68, SD = 1.499) compared with that from experts in medicine (M = 5.39, SD = 1.511). Among the unofficial sources, “chatting and communicating with family and friends” scored the highest (M = 4.84, SD = 1.649). In the statistics on people’s trust in all aspects involved in vaccines, the level of trust in the social environment was significantly higher and more concentrated than in vaccines (M = 5.67, SD = 1.129). The level of trust in government (M = 5.80, SD = 1.256) was slightly higher than in medical personnel (M = 5.53, SD = 1.199). People’s willingness to be vaccinated was generally high (M = 78.15, SD = 22.354). The demographic factors were not influential in vaccination intention. Both sources (official and unofficial sources) and trust (trust in the social environment and in vaccines) are significantly and positively correlated with vaccination intention. Information receptions from official and unofficial sources were significant positive predictors of trust in the social environment, but they were not significant predictors of trust in vaccines. The mediating effect of trust in vaccines on the relationship between receiving information from official and unofficial sources and vaccination intention was insignificant. Conclusions: This study revealed that trust in the environment is an important channel linking people’s information reception and vaccination intention, explores a new path for health information communication, and attempts to provide new ideas for health information dissemination and promotion.