In many countries poverty, income distribution and economic growth are all closely linked together. Since economic growth is account as basic index to measure economic changes within these countries, so reaching to high economic growth level, as a targeted point within an economic development plan today is at the heart of economic plans in most countries.In the other side, steady dimension of poverty and income distribution, especially in less-developed and developing countries, regarding their past experiences at growth-manship put rural poverty and income distribution pattern at the preface of their programs and strategies. The place of rural areas in combating programs against poverty and income inequality and also the role of agriculture sector in the economic growth policies, and also recognizing rural areas as a vital origin of agriculture in different countries (as in Iran) have necessitated the study of the relationship between agricultural economic growth, rural poverty and income distribution. In this study, after measuring determinants of poverty line, poverty, income distribution, economic growth and etc, we have surveyed interrelation between the said variables and have determined some effective factors. To this aim, we have used SUR model, granger causality test and time series of agriculture sector and rural areas (1971-2001). EVIEWS has been applied to estimate econometric models. The most important results are as bellow: 1- Agriculture economic growth has not affected rural income distribution pattern.2- Agriculture economic growth has decreased relative and absolute rural poverty.3- Although income distribution pattern hasn't affected rural absolute poverty, but has had direct effect on the relative poverty.4- Per-hectare value added, per-capita land, investment and government current costs in the agriculture and natural resources sequence have had positive effect on agriculture economic growth.Versus, agriculture employment rate has not affected It.5- Per-capita land, agri-trade openness, government current costs in the development sequence and economic policies of after revolution era haven' t affected income distribution pattern.6- Agri-trade openness has had decreasing effect on rural absolute poverty, but it has not affected relative and absolute rural poverty.7- Government current costs in the development sequence have not affected the relative and absolute rural poverty.8- Although economic policies after the revolution and agriculture investment have not had effect on the rural absolute poverty, but they have increased rural relative poverty.