A pedestal rocker seat arrangement adapted for use in connection with the side frame of a railway truck and with a roller bearing adapter member. The pedestal rocker seat includes an elastomeric pad adapted to be placed within the pedestal roof cavity of the pedestal of a side frame. The pad includes a base member adapted to engage the pedestal and a generally pyramidal-shaped projection extending downwardly from the base member. The pedestal rocker seat also includes a rocker member having a top side including a generally pyramidal-shaped cavity adapted to matingly receive the pyramidal-shaped projection of the elastomeric pad. The rocker member also includes a convex generally cylindrical-shaped curved rocker surface that is adapted to contact the roller bearing adapter member. The pedestal rocker seat provides resistance to hunting and passive axle steering for improved curving.