Extremely difficult to tame. Best options are to bola it, and then use a longneck rifle with tranq darts. Otherwise trying to get it to fly into the side of a cliff and get stuff is the other option for a solo tame.
Look it is hard to knock them out because of the fact that if you get close to them they will run. So you are going have to hit a 360 bola trick shot with the bola and hit it then knock it out. One more thing whe you are shooting it with tranqs they have low health so wait 5 seconds to let the narc kick in. Have fun and good luck survivors!
Wear ghillie suit before approaching. Crouch/crawl up to then when it lands and use tranquilizer darts instead of arrows. Arrows have a very high kill chance. Once it goes down circle the tame with spike walls as tapejara are very fragile!
Since the new update, rare flowers make dinos aggro on to you, you can use this on a tapejara and it will follow you to a trap you've built. Just remember that each flower gives only 10 seconds of that debuff so if the bird is far away from your trap, you have to use it frequently while coming back. Also, if you need it to follow you after you've gotten off your dino, you need to eat another rare flower so that it can agro on to you once again.
The Tapejara is a versatile and highly maneuverable pterosaur known for its three-person saddle. While it may not have as much stamina and weight carrying capacity as other creatures, it has unique benefits in combat. The Tapejara can land on trees and other vertical surfaces, allowing both the pilot and the passengers to use weapons. Its rudder-like fin make it the only flying creature able to hover and strafe side-to-side.