<p>In a rolling bearing for linear movements, two rolling member circuits arranged between one arm of a U-shaped guide carriage and a lateral face of a guide rail, are substantially perpendicular to one another with their force transmission planes and are substantially parallel to one another with their circuit planes. All rollers have parallel axes in each of the two roller circuits. The load-transmitting row of rollers and the return row of rollers are offset from one another in the axial direction of the rollers in both roller circuits.</p>