These things are slightly terrifying. Taming is very similar to an argentavis, but since they're so fast they are hard to catch once they start to fly away. A taming pen is recommended unless you have a tapejara with another tribemate to shoot at it. Allosaurus kibble works the best but alas mutton is a wonderfulalternative since the ovis is abundant on Ragnarok. These creatures are a bit narcotic heavy so be ready! Very worth it though!
Be very careful when near the griffin. It's very aggressive, and the fastest flyer in the game. If you're a low level with only stone tools, then run like the wind( Try to get into water ). However, it's an amazing tame, so I suggest you should get it.
Two people can ride and both can equip tools/guns while riding and can dive for help during combat too. These winged beasts sadly can't be bred because they don't have genders, much like the rock elementals. And you're going going to have a very hard time knocking one out considering they fly fast and have decent attack, but will most likely be worth it. Probably going to have to move to Ragnarok because of these things.
To tame this magestic beast, hit it to anger it, take it high into the sky (away from all things itll try to attack) and lure it into a trap made for pters to be able to pass through. They create dust which makes it hard to see where you need to hit at times. Its takes a ton of tranq darts. But its worth it. Pump stam, health and weight and its a faster tape. And its beautiful. Have fun :P
It's basic swipe from the ground is rather weak. It's strength comes from being able to dive swipe. To utilize this, you will want to focus the camera on your target and fly above then straight down at the enemy, while left clicking to swipe a claw in air. This does unreal massive damage, potentially thousands of damage.
Build a pen, lure the Griffin into the pen, knock it out, let it wake up, knock it out again, then feed it mutton. 100% taming effectiveness. With an ascended crossbow it's not to many arrows for a knock out. Like 40 each time for a 150. Hope it helps!!!