The Potatoes crop is one of the most important vegetable crops, which occupies a high position of Egyptian agricultural exports, but the statistics indicated a fluctuation and a small percentage of exports from it to Production. The research problem represented: the instability of Egyptian Potatoes exports and the low rates of growth compared to the local production of it, which requires studying the determinants of Potatoes demand and its competitiveness in the export markets. The research aims to: Identify the competitive situation of the study crop in the most important foreign markets for it, by estimating the demand function for exports of this crop to determine the most important factors affecting it. the most important results: The results of the Almost Ideal Demand System indicate that The price elasticity of demand for the Egyptian potato crop in the Russian market indicates that a change in its price by about 1% leads to a decrease in the quantity demanded on it by about 1.049%, And that the price elasticity of demand for the Egyptian potato crop in the Greek market indicates that a change in its price by about 1% leads to a decrease in the quantity demanded on it by about 1.009%, And that the price elasticity of demand for the Egyptian potato crop in the Italian market until a change in its price by about 1% leads to a decrease in the quantity demanded on it by about 0.347% in the Italian market.