Tobacco Use by Minors Deterrence Act of 1997 - Amends the Public Health Service Act to replace provisions relating to State laws on the sale of tobacco products to individuals under the age of 18 with provisions requiring that the amount of formula grants to States (for the prevention of substance abuse) be reduced if there is not in effect a law regarding tobacco products and such individuals, including concerning: (1) tobacco distribution; (2) the purchase, possession, or use by such individuals in a public place (including parental notification); (3) the distribution of samples; (4) out-of-package distribution; (5) the posting of certain signs at selling locations; (6) the location of product packages in sight of an employee; (7) certain notifications to retail employees; (8) certain vending machine sales; (9) enforcement by a State (including using the State police, conducting random, unannounced inspections, and using individuals under 18); (10) distribution licenses, including licensure of each retail distribution place; and (11) preemption of inconsistent local laws.

Prohibits the sale or other distribution of a tobacco product to an individual under the age of 18 through the Internet.