The promotion of menstrual health and hygiene globally, especially in lower-middle-income countries (LMICs), is a major public health imperative. The primary study objective was to ascertain the change in the patterns of menstrual hygiene practices and their sociodemographic determinants amongst adolescent girls and young women in India. The present study analyses data from the Indian National Family and Health Survey (NFHS), round 4 (2015–2016) and round 5 (2019–21). Women in the age group 15–24 years (n = 241,180) were interviewed regarding their menstrual hygiene practices. The proportion of women using sanitary napkins as absorbent during menstruation increased from 41.8% (NFHS-4) to 64.1% (NFHS-5), with more than six in ten adolescent girls and young women in India using sanitary pads during menses, although the socioeconomically vulnerable more likely to lack access. The higher age group (20–24 years), rural residence, lower wealth quintile, absence of schooling, absence of flush toilets, and lack of exposure to media were factors that were independently associated with the use of cloth as menstrual absorbent. Vaginal discharge was reportedly higher among women using unhygienic products, however, on adjusted analyses, no statistically significant association was observed with the type of absorbent used. The transition from cloth to sanitary pads has nearly doubled on average in the states implementing free and subsidised government pad distribution schemes during the same period.