The sample size of the research was 12612 children that was taken from the raw data of Household Budget Survey (HBS) 2005/2006 in Yemen. The factors of the research are some demographic that are considered as categorical. The aim of the research is to studying the interaction between demographic factors and the stunting status of children. The suitable analyses for studying the propose of the research is the loglinear model. The results of using the loglinear model are found that the main effect of area of residence, dwelling status, treatment drinking water, no. of sleeping rooms, type of sewage disposal, and place of toilet have significant effect on the stunting status of children. Only for area of residence, it should be observed that either dwelling status or place of toilet or no. of sleeping rooms are highly significant associated with stunting status of children (i.e,. (X*Z*D), (X*Z*T), and (X*Z*N) P-value < 0.05).