In short:
- Right-click on the horse and you will mount it.
- After a short while you will be thrown off
- Repeat until the heart animation shows
- You have now tamed the horse and can saddle it.
It will usually take 3-4 attempts to tame the horse, but it can take as little as 1. To speed up taming, feed the horse before trying to mount it. The following foods boost the likelihood of taming:
Sugar | +3%
Wheat | +3%
Apple | +3%
Golden Carrot | +5%
Bread | +3%
Golden Apple | +10%
From the wiki:
Adult normal horses, donkeys, and mules can be tamed; foals, skeleton
horses, and undead horses cannot. It is necessary to tame a horse in
order to breed it, give it equipment, or ride it for any length of
time.
To tame a wild horse, approach it and right click on it with an
empty hand. You will climb on top of it, and will likely be thrown
off. After a few attempts, it will allow you to remain on it and will
give off heart animations. At this point you can dismount it by
pressing the sneak key and place a saddle on it, or you can place a
saddle without using the sneak key at all by right-clicking on the
horse with the saddle in hand. Horses can also be saddled by opening
your inventory while mounted and moving the saddle to the appropriate
slot in the horse's inventory.
The chance of successful taming on the
first try is almost 0%, yet it can be done. Taming on the first
attempt is very rare. After the first attempt without taming the
horse, the chances increase by about 5%, and usually one can then tame
a horse after about 3-4 attempts. Taming can be sped up by feeding the
horse any of the approved foods when you are standing next to it - see
column "Taming prob." in the table below.
One of the more efficient
ways to try and tame a horse is to build walls around it, making the
space within no more than 10x10, don't let the horse have too much
space. Should you fail to tame the horse, you can always come back
later, provided the enclosure contains the horse (i.e. don't put
blocks near the edge, etc.). Another tactic is to use water, since it
will limit the horses ability to move, allowing you a better chance to tame it.