Studying of inheritance of resistance to stripe rust in 2015 in F1 generation of crosses in crosses of lines of synthetic wheat with commercial cultivars of winter have been conducted on adult plants and on seedlings. On natural background of spores of Puccinia striiformis West 79% hybrids showed high resistance on adult plants. On artificial background the evaluation of seedlings showed that 46% of lines showed resistance to this disease. As the result, adult plants and seedlings wheat hybrids have showed different resistance to stripe rust. The studying of correlation dependence between spikes productivity components in artificial and in natural background of spores of P. striiformis West. pointed that during first case on seedlings have been pointed previously moderate and high correlation between indexes of spikes productivity in comparative with case on adult plants with natural inoculations which showed low correlation.