This study will explore the extent of nutritional poverty in Adama, Assela and Modjo towns using micro analytical anthropometrics indices and vulnerability to malnutrition models. In the contemporary world income poverty level of individual is too shallow to explain the overall welfare. Growth status of children can clearly implicate the degree of short term exposure to risk and disturbances and long term malnutrition. Econometrics models like logistic and weighted feasible linear regression models have been used to estimate parameters and its correlates in the three towns. Result of the model proves that about 55% of children in the three towns are vulnerable to malnutrition regardless of living standard of their family. Children and family related assets, length of breast feed, food intake level, growth environment and education level are negatively affecting vulnerability to malnutrition, wasting, stunting and underweight of children while fosterage, income inequality, birth order, family size are positively influencing child poverty. Therefore, food intake system of children has to be changed drastically in line with international standard.