Alaska Native Tribal Health Consortium Land Transfer Act of 2021 This bill directs the Department of Health and Human Services (HHS) to convey specified property in Anchorage, Alaska, to the Alaska Native Tribal Health Consortium for use in connection with health programs. The conveyance shall not require any consideration from, or impose any obligation, term, or condition on, the consortium or allow for any U.S. reversionary interest in the property. The consortium shall not be liable for any environmental contamination that occurred before the conveyance. Further, HHS shall not be liable for any environmental contamination from the date on which the consortium assumes control of, occupies, and uses the property.