Wheat (Triticum aestivum L.) is one of the world's major food crops and Iran produces approximately 14 million tons of wheat per year . Effective interpretation of data from breeding programs is important at all stages of plant improvement. The genotype-by-trait (GT) biplot used for the two-way wheat data set as genotypes with multiple traits. For this proposal, 13 wheat cultivars with specific characteristics were tested in an organic cultivation environment. The GT biplot for the wheat data set explained 65% of the total variation in the standardized data. The polygonal view of the GT presented for 18 different traits of wheat genotypes showed six vertex genotypes as G3, G4, G5, G9, G11 and G12. The G4 genotype had the highest values ​​for most of the measured traits. Generally based on the vector view, ideal genotype, and ideal tester biplots, it has been shown that selection of high grain yield will be done through thousands of seeds weight, ear length, and kernel diameter. These traits should be simultaneously considered as effective selection criteria for the evolution of high-yielding wheat genotypes due to their large contribution to grain yield. The G3 and G4 genotypes could be considered for the development of desirable progenies in the breeding strategy of wheat improvement programs. INTRODUCTION Wheat (Triticum aestivum L.) is a major global food crop that is used to produce various food products and cereals widely consumed in Iran. Iran produces about 14 million tons of wheat per year; with an average yield of two tonnes per hectare, of which 90% is made up of soft wheat (FAO, 2012). The area planted with wheat in the world in 2012 was 216 million hectares; production 675 million tons and average yield 3100 kg ha-1 (USDA, 2012) where, in Iran, the area cultivated with this crop was 7 million...... half of the paper......And R., 1998: Growth and component analysis of durum wheat yield as an index of selection for terminal moisture stress. - Tropical Agriculture, Guildford, 75, 363–368.USDA. (2012). World Agricultural Production, Foreign Agricultural Service, Circular Series http://www.fas.usda.gov/.YAN W., 2001: GGEbiplot–A Windows application for graphical analysis of multi-environment test data and other types of data two-way.- Agronomy Journal 93, 1111–1118.YAN W., HUNT LA, SHENG Q., SZLAVNICS Z., 2000: Cultivar evaluation and megaenvironment investigation based on GGE biplot.- Crop Science, 40:597– 605.YAN W ., KANG M S., MA B., WOODS S., CORNELIUS PL, 2007: GGE biplot and AMMI analysis of genotype-by-environment data.- Crop Science, 47, 5: 643–655.YAN W. , RAJCAN I., 2002: Biplot evaluation of test sites and soybean trait relationships in Ontario.- Crop Science, 42, 11–20.