The context-specific, complex issue of ‘vaccine hesitancy’ is explicated in terms of delay or refusal of vaccination despite the availability of vaccine services. Although eleven million beneficiaries were administered the COVID-19 vaccine in India from 16th January 2021 till 20th February 2021, however, proportionately a low turnout has been registered in various parts of the country, possibly attributable to hesitance/apprehension towards the current vaccination. In this backdrop, we report the response (collected between Feb 1, 2021 and Feb 15, 2021) of 358 voluntary respondents who participated in an online questionnaire-based pan-India survey, executed to assess their knowledge and acceptance towards the current COVID-19 vaccination program in its first phase. The survey questionnaire consisted of demographic characteristics of the respondents and queries pertaining to knowledge (7 items) and acceptance (3 items). The overall correct rate and the average knowledge score of the participants were 78 % and 5.46 ± 1.4/7 respectively. The acceptance score was 3.50 ± 1.6/5 while 70 % of participants agreed against the 20 % of respondents who neither agreed nor disagreed to take the vaccine. Around 66 % believed that the vaccines, currently being administered in India are safe. Fear about possible side effects (44 %) and inadequacy of comprehensive clinical trial data (29 %), seemed to be the major players in fortifying the vaccine hesitancy among the respondents, exhibiting negative acceptance. Although maximum respondents demonstrated a good level of knowledge (82%) and acceptance (88%), significant differences were observed among some demographic variables. In general, a positive correlation was observed between knowledge and acceptance against a negative correlation, observed in specific provinces. Despite the good acceptance and knowledge, a considerable fraction of the participants (30%) expressed hesitancy. Counselling, mobilization, and feedback from vaccinated individuals about safety should be encouraged. However, due to the limited sample size, we must be cautious when generalizing these findings. Nevertheless, the major elucidations of this study may be utilized in planning vaccination campaigns in further phases.