Background In Morocco, cervical cancer is the second most common cancer affecting women behind breast cancer. The Human PapillomaVirus (HPV) vaccine has been available in Morocco since 2008 but its introduction in the national immunization program is still under discussion. There is limited data regarding acceptability and predictors of HPV vaccine acceptability among Moroccan young women. This study aimed to evaluate the awareness of female university students of HPV and the vaccine and to identify predictors of HPV vaccine acceptability. Methods We conducted a structured interviewer-administered questionnaire with 1087 participants in six Moroccan universities between May 2019 and June 2020. Results The awareness of HPV infection was 14.7% and of HPV vaccine was 7.8%. The rate of immunization coverage against HPV was less than 1%. Over 67% of participants were willing to receive the HPV vaccine. Awareness of cervical cancer (p-Value = 0.04) and the HPV vaccine (p-Value = 0.01), and acceptability of Pap smear test (p-Value <0.01) were significant predictors of HPV vaccine acceptability. Conclusions This study revealed an insufficient amounts of awareness of HPV and of HPV vaccine uptake in a sample of Moroccan university young women. This lack of awareness needs intervention, and it is important to develop an awareness program for young female population either within or outside universities in order to promote vaccination uptake and ultimately lower the cervical cancer rate in Morocco.