A roller bearing for a tunneller having an inner ring, an outer ring, two sets of rolling elements arranged between the tracks formed on the rings, the first set of rolling elements including at least one roller able to withstand axial stresses and the second set of rolling elements including an angular-contact roller that is able to withstand both radial and axial stresses, the inner and outer rings being concentric about an axis of rotation of the roller bearing. Each roller in the first set includes a first axis of revolution (Y1-Y1) inclined in relation to the axis of rotation (X-X) by a first angle (α1) of between 45° and 95° and each roller in the second set includes a second axis of revolution (Y2-Y2) inclined in relation to the axis of rotation (X-X) by a second angle (α2) of between 0° and 45°.