To amend titles V, XVIII, and XIX of the Social Security Act to promote tobacco use cessation under the Medicare Program, the Medicaid Program, and the maternal and child health program.

Medicare, Medicaid, and MCH Tobacco Use Cessation Promotion Act of 2001 - Amends title XVIII (Medicare) of the Social Security Act (SSA) to provide coverage of counseling for cessation of tobacco use. Amends SSA title XIX (Medicaid) to: (1) provide for coverage of tobacco use cessation medications; and (2) require coverage of tobacco use cessation counseling for pregnant women. Amends SSA...