Federal Incentives for State Health Care Professional Liability Reform Act of 1985 - Establishes a program to provide development and incentive grants to States for enacting medical malpractice liability reforms. Describes the reforms which must be in effect for States to receive incentive grants, including: (1) the manner of payment of damage awards exceeding $100,000; (2) a $250,000 limit on noneconomic losses; (3) the method for determining attorneys' fees; and (4) certain requirements regarding health care professional liability insurance.

Requires each State receiving an incentive grant to prepare and transmit a report to the Secretary of Health and Human Services every two years describing: (1) State liability reforms enacted, adopted, or in effect; (2) activities conducted by the State with grants received under this Act; and (3) any current problems with respect to health care professional liability or health care professional liability insurance. Requires the Secretary to transmit periodic reports to the Congress summarizing the information provided by the States. Authorizes appropriations.