Recognising the importance of infant and young child feeding practices during the first 2 years of life, the World Health Organization's Global Nutrition Monitoring Framework developed a minimum dietary diversity (MDD) indicator for feeding children aged 6–23 months. MDD is defined as the consumption of food items from five or more groups out of a total of eight food groups. Food intake from less than five food groups is considered minimum dietary diversity failure (MDDF). Using the nationally representative National Family Health Survey (NFHS) dataset, the present study assessed the trend in MDDF between 2005–6 and 2015–16 and the factors associated with MDDF among children aged 6–23 months during 2015–16. The NFHS conducted in 2005–6 and 2015–16 covered a sample of 14 419 and 74 078 children aged 6–23 months, respectively. Overall, the MDDF reduced from 87⋅4  % (95  % confidence interval (95  % CI) 86⋅8  %, 87⋅9  %) in 2005–6 to 80⋅6  % (95  % CI 80⋅1  %, 81⋅0  %) in 2015–16. Multivariable logistic regression analysis revealed that increased child's age, second and third birth order children, higher maternal age and education, mass media exposure of mothers and more than four antenatal care visits had a negative association with the MDDF. Children living in rural areas and residing in high-focus states of India were observed with higher odds of experiencing MDDF. Exposure to community healthcare services was negatively associated with MDDF, and anaemic children were more likely to have MDDF. Socioeconomic status of mothers and children and encouragement of maternal and child healthcare use could be helpful in devising context-specific intervention to mitigate MDDF.