I would suggest ( especially on mobile making a trap) consisting of 16 Wooden door frames, 6 wooden floors, 6 wooden ceilings, a wooden dinosaur. Gateway and a reinforced gate, lure the griffin in and close the door, you can also use stone, metal or tech, if you are worried, that your structures might be destroyed as griffins can damage wood, then just use Tranq arrows or darts, on mobile if your last 2 letters of your name match the griffins, it will respect you, or if you are above level 85, if you are neither, then it will only tame off of allosaurus or griffin kibble