The rate of infant and child mortality is very high among the people of India particularly those living in rural areas. This paper examines levels, trends and socio-demographic factors associated with infant and child mortality among few states. The government of India has conducted the fourth National Family Health Survey (NFHS 4) in 2015 and some partial results from a few states are now available. It is a similar type of countrywide surveys which was conducted in 1992 (NFHS 1), 1998 (NFHS 2), 2005 (NFHS 3).