Feint is an offensive Normal-type move.
As of 1.0.4, it can be taught by the Physical Move Tutor of Tsukinami Village Hotel for four Red Shards. In 1.0.3, it could be taught by the Ultimate Move Tutor in Tsukinami Village at a cost of four of each shard. Prior to 1.0.3, it was available for free from an old man in Nowtoch City, provided you have 4 gym badges.
Pokémon that learn Feint
By leveling up
By Move Tutor