The data are the modelling results for Yellowstone hotspot motion and plume conduits on which the figures of the paper "Yellowstone plume conduit tilt caused by large-scale mantle flow" by Steinberger, Nelson, Grand and Wang are based. Detailed description on how they are obtained is given in that paper. The naming of the files is as follows: First letter: c for plume conduit, s for surface motion. Then figure number (6, 7, or 8; s1 and s2 for Supporting Figure 1 and 2), then a, b, c or d for which column of the figure, or 2a etc for the specific panel. Each file has in the first column time, in the second longitude, in the third latitude, in the fourth depth (given as normalized radius, i.e. 1 at the surface, 0.5448 at the core-mantle boundary). For the plume conduit the time (first column) is always zero = present-day. For the surface motion the depth is always close to 0.9843 (base of the lithosphere). The file rotvec.na.nn gives the North America plate motion (stage rotations) used to convert hotspot motions to hotspot tracks on the North American plate. Stage rotation rates are given in omega_x, omega_y, omega_z (units of degrees per million years) followed by the time interval in million. Stage rotation rates are given in cartesian coordinates omega_x, omega_y, omega_z (units of degrees per million years) followed by the time interval in million years.