1. Make trap, place trap usually a 4 stone gates with equal distancing and 2 gates obviously.
2. Kill everything around trap, the griffon will go after anything and it will be a hastle trying to get it follow you.
3. When you get griffon to follow you make sure to get close by trap when he starts so he gets in when he first hits you. If your far away and then he catches up to you he will fly around you and not go into the trap.
4. Once griffon is traped make sure to get some sort of protection around trap just in case a carno spawns in or anything you know how ark is.
5. Tame it and have fun
Before you all go naming your griffins "Buckbeak" lemme lay some mythology on ya. Buckbeak from Harry Potter was actually a hippogriff which is a horse combined with a eagle. A griffin is a lion combined with an eagle. Just keep this in mind before going on a Buckbeak naming spree.