A glass run for use in a motor vehicle includes an outer side wall, an
inner side wall and a bottom wall and has a generally U-shaped
cross-section. An outer seal lip and an inner seal lip project from
distal ends of the outer side wall and the inner sidewall into an
interior of the glass run. The bottom wall has a shock absorbing lip
which obliquely projects from one side end thereof into the interior of
the glass run. And a depressed part is fanned in an exterior surface of
the bottom wall for defining a space with the door frame, and a
cushioning member is secured in the depressed part of the bottom wall.