A variable air intake apparatus in accordance with the present invention includes an valve configured to open a through hole formed at a duct body when an engine is driven at a high output to change a path of air introduced into the engine depending on an engine RPM, in which a magnet is mounted on any one of the valve and the duct body and a steel member is mounted on the other one thereof to maintain a state in which the valve closes the through hole, and a buffering member is mounted on any one of the valve and the duct body to prevent generation of hitting sound that is generated when the valve hits the duct body.