Abstract: An apparatus for reducing mechanical shock and vibration in a downhole tool includes a frustum-shaped sleeve configured to be disposed between the downhole tool and another downhole component. The frustum-shaped sleeve is made of a mechanical shock absorbing material and includes a central axis, a radially inner surface, and a radially outer surface. The radially inner surface or the radially outer surface of the frustum-shaped sleeve includes a pyramidal frustum-shaped surface with four or more circumferentially adjacent sides. The downhole tool or the downhole component has a pyramidal frustum-shaped surface configured to mate with the pyramidal frustum-shaped surface of the frustum-shaped sleeve.