In Ethiopia, peasant vegetable production is common practice; it supplies to the local consumers and traders. Ethiopian peasant's current and future production capacity is faced by capital and technology constraints and of course market access. As a solution, projects which are mainly engaged on introducing improved agricultural technologies to the peasants are devised and implemented in different parts of the nation. Such activities need both to identify the main factors for the acceptance of the improved agricultural technologies and impact assessment. This thesis uses logit model and estimate elasticity after logit model regression mainly to identify the factors and strength of the variables in the model. Heckman treatment effect model and descriptive statistics, methods are employed to see the impact of the project intervention and the trend of vegetable output. This work adds significant knowledge to the current understanding of the importance vegetable on food security of poor farm households. In addition, it helps rural agricultural policy makers on how they can intervene; it raised some questions for further studies