Can u train a beagle to stay with you in the yard and not run away?

No. Beagles will listen to a certain extent, but they get "nose blind" when they pick up a scent. That is why so many beagles come into shelters to the point that some shelters don't accept beagles anymore. There are many that get lost. And they won't often be able to find their way home. What i suggest is that when you are outside, keep your dog on a leash and take jogs and walks with him supervised. There will be little way he can get away from you and a dog that is satisfyingly tired from a nice romp with their favorite person is a happy dog. I would suggest if you have acres, close off a small yard for him and make sure to dig under the fence at least 3-4 feet and bury a barrier so he can't dig under and make it at least a 6' privacy fence so he can't jump very easily (though its possible he could climb so make sure he can't). This is no substitute for supervision but its the only way i would let a hound off leash.

I would not recommend letting your dog go off the leash. My beagle goes out in my yard and gets on the track of a squirrel or some other critter and puts her nose on the ground and goes all over the yard howling. She acts like she doesn't hear me calling her. I was told that beagles get a scent and they will follow it and are oblivious to everything around them. so if they get out of the yard and track a scent and then lose it they are lost and can't find their way back home. My beagle is 6 and she is some better now that she has been spayed. She likes to stay in the house a lot more.

i know i have tryed but with no luck but i beleve it is possable with a lot of time

I have the same problem. I am affraid to let my dog off of his leash. He also has found a way to escape my fiance's parents back yard. He is staying there because he has a bad case of seperation anxiety and howls when I leave and to many people have complained.