Article: She should be able to see you coming. Sneaking up on the horse from behind can startle it.  Make sure you have your rope, halter, and maybe a treat with you before you go out to catch your horse. Talk to the the horse as you approach. Use a quiet calming tone to let her know you are coming and that you don't mean her any harm. Take easy deliberate steps. Don’t rush after the horse or it will get scared and run away from you. If the horse seems startled or if it turns away, stop and wait for her to settle down before advancing again. Don’t approach with the halter outstretched. This will startle the horse. It may recognize the halter and panic. Also, keeping your arms down will make you appear more neutral and less threatening. Waving your hands or advancing too quickly toward the horse will cause it to run away. If the horse does get spooked and makes a run for it just stay where you are. Chasing after it will only startle it even more. Instead, wait for it to stop. Give the horse a few minutes to feel safe again, then start advancing slowly and try once more.
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Approach the horse from the front  and slightly to one side. Start walking toward the horse slowly. Hold your arms down. Don’t make any sudden movements. If the horse runs away, don’t go running after it.