Prevention, Identification, and Treatment of Elder Abuse Act of 1986 - Directs the Secretary of Health and Human Services to establish an office known as the National Clearinghouse on Elder Abuse to: (1) compile an annual summary of recently conducted research on elder abuse; (2) develop and maintain an information clearinghouse on all programs for the prevention and treatment of such abuse; (3) compile training materials for personnel engaged in elder abuse prevention; (4) provide technical assistance for the planning and implementation of programs relating to the problems of elder abuse; and (5) investigate the causes and national incidence of elder abuse. Authorizes the Secretary to make grants to or enter into contracts with public agencies or nonprofit organizations for demonstration projects designed to prevent and treat elder abuse. Sets forth the terms and conditions for such grants. Authorizes the Secretary to make grants to States for the development and implementation of elder abuse prevention and treatment programs. Requires such States to have in effect a State elder abuse law with mandatory reporting provisions. Sets forth other requirements for eligibility. Prohibits the use of assistance for construction of facilities. Directs the Secretary to establish criteria to achieve equitable distribution of assistance among the States. Authorizes appropriations.