The following comes from the FAQs at the NYS Racing and Wagering website:

Indian land is not under State law unless a Federal law places it under State law. The Supreme Court held that even if a tribe is under State law the State gaming regulations do not apply on Indian trust land. In 1988 Congress passed the Indian Gaming Regulatory Act permitting federally recognized Indian tribes the ability to conduct gaming activities under certain circumstances. This law allows traditional Indian gaming, bingo, pull tabs, lotto, punch boards, tip jars, and certain card games on tribal land. However, it requires a Tribal/State compact for all other forms of gaming. Today there are about 145 Tribal-State gaming compacts. Nearly 130 tribes in 24 states are involved in some kind of gaming.

The Tribe may regulate traditional forms of Indian gaming by itself. Bingo, pull tabs, lotto, punch boards, tip jars, and certain card games are regulated by the Tribe in conjunction with the National Indian Gaming Commission, although tribes, under certain circumstances, may self-regulate these activities. All other forms of tribal gaming are subject to regulation as determined and defined by State-Tribal gaming compacts.

The National Indian Gaming Commission was established by Congress to develop regulations for Indian gaming. For more information contact the National Indian Gaming Commission, 9th., Floor, 1441 L Street, NW, Washington, DC 20005, (202) 632-7003.