Best way to take them is to make an enclosed taming pen that you can lure and trap them into. Trying to tame it without one is a rough task. Because once they get to a certain amount of torpor, they fly away very fast. Making it impossible to catch up with them.
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.