Addendum because this is slightly misleading: HAL developed Smash 64 & Melee, however Brawl onwards were primarily developed by Sakurai's company Sora Ltd.
Since HAL develops both series, Super Smash Bros. has had a multitude of influences on Kirby games. This can be commonly seen in the menuing of the games, but Kirby Air Ride was built off of the same base engine as Super Smash Bros. Melee.