In the United States
Bison herds can be found in parks in Wyoming, Montana, Oklahoma, Nebraska, North Dakota, Iowa and Canada. Bison prefer large swaths of open land on plains and prairies with access to river valleys. Bison also need access to dirt areas, often near sources of water, in which to wallow. Wallowing is when bison roll in the dirt to remove matted hair, and to help protect them from insect bites. Yellowstone National Park is an example of ideal habitat for bison, with its abundance of open land for grazing and access to a variety of water sources. Approximately 3,000 bison live in Yellowstone.
Diet
Bison graze on grasses and sedges. They essentially follow the grass as they roam through an area, moving as they eat. In this way, in the wild, they do not overgraze any particular area, allowing the grass to regrow before they might circle back to it to eat again. The ideal habitat for bison, therefore, includes access to large amounts of grassland acres. In the winter, bison primarily forage on sedges.
Climate
Bison are suited for both hot, dry summer climates and frigid, snowy winter climates. As plains animals, they are built to withstand extreme temperatures. In winter, they use their hooves and large heads to move snow off of vegetation so they can eat. They have thick skin, layers of fat and an underfur to help them stay warm during cold months. When raised in captivity, bison can adapt to most climates in the United States.
In Captivity
Bison are raised by farmers for their meat. In captivity, bison still need access to large amounts of grassland. By nature they do not overgraze, and prefer to move from acre to acre as they eat. They do not require any type of special shelter in captivity, as they are accustomed to adapting to most weather conditions. They will need access to a reliable water source, and ideally will still be able to engage in wallowing in dirt areas. It should also be noted that bison can carry a disease called brucellosis, which can be transmitted to other domesticated livestock such as cattle.