Genotype × environment (GE) interaction was investigated for grain yield of barley (Hordeum vulgare L.). Data included were 18 genotypes and 15 environments (five locations and three years). Interaction effect was modeled by four types of stability parameters and studied parameters were plotted against mean yield performance for graphic analysis of stability and simultaneous selection for yield and stability. About 60% of the total variance was explained by environment differences, about 24% by GE differences and 15% by genotype differences. G8, G10 and G18 according to S_i² and G2, G6 and G10 considering CV_i were stable while G2, G6 and G10 were identified as the most stable genotypes based on θ_i, θ_(i), W_i² and σ_i² parameters. Genotypes with b_i and β_i (coefficients of linear regression) values greater than 1 (such as G3, G7, G15 and G17) indicated higher yield in more favorable environments. Overall based on Type IV stability, G8, G10, G11 and G18 were identified as the most stable genotypes for each of the five locations. According to graphic analysis of S_i² and CV_i parameters, G2, G5, G6, G10 and G12 were the most stable genotypes while based on θ_i, θ_(i), W_i² and σ_i² parameters, G1, G2, G4, G5, G6, G10, G12 and G15 were identified as the most favorable genotypes. Based on graphic analysis, G1, G4, G6, G10 and G15 were common with the high-yielding genotypes. Finally, G1 (2 325.2 kg ha^-1) and G15 (2348.6 kg ha^-1) were the most favorable genotypes for barley grain yield and are therefore recommended for commercial release.