Abstract <p>Based on the results of finite element computer simulation of hot longitudinal rolling of steel strip using symmetric and asymmetric schemes in a two-dimensional mode, a comparative assessment of four methods for determining the neutral line position is proposed: No. 1 is based on assessing the change in the horizontal velocity of points located before rolling along the strip thickness on the same vertical; No. 2, on comparing the horizontal velocities of strip points along the contact arc and the corresponding points on the roll; No. 3, on assessing the change in shear stress along the length of the geometric deformation zone; No.&#xa0;4, on assessing the change in accumulated strain along the length of the contact arc. It was found that method No.&#xa0;1 allows estimating the position and elongation of the neutral line only with symmetric rolling, and methods Nos. 2–4, the position of the neutral line and its angle of inclination for all studied schemes. Method No.&#xa0;3 also allows partially assessing the elongation of the neutral line with a symmetric scheme and rolling with asymmetry of roll diameters.</p>