If you have added a horse to your family and he is showing that he has a bucking problem, how you handle it will turn the problem into a long term battle of wills or make it a minor hurdle to cover in your training.

Horse will primarily buck for only a few reasons:
(1) He is frightened of you or doesn't trust you yet.
(2) He is associating something with pain, such as a saddle or a bit.
(3) He is asserting his dominance to be "top horse" over you.

First of all, rule out anything is hurting him. He may have teeth that need to be floated or an ill fitting bit. Saddles that are not fitted properly can also rub and cause your horse pain. Make sure anything you use on your horse is absolutely comfortable or he will begin bucking immediately when he sees an object he associates with something that has caused him pain in the past.

This takes us to a lack of trust or actually being frightened of you. If you have a horse that has been in an abusive situation; you will have to earn his trust and it will take a little time but you'll see progress with every training session. The more you train with him, the faster he will learn you mean him no harm and he can trust you to always treat him with kindness.

If your horse is playing the "I want to be leader of this herd" with you; you need to simply call him down and then start from the ground up on his training to show you are indeed the top horse in that herd. This will include walking on a lead, saddling and riding training again if necessary.

Never yell, scream or hit your horse - all of these training and retraining methods will show results when the horse is trained with kindness and respect.