Health Care Conscience Rights Act

Amends title I of the Patient Protection and Affordable Care Act to declare that nothing in that title requires an individual to purchase individual health insurance coverage that includes coverage of an abortion or other item or service to which the individual has a moral or religious objection, or prevent an issuer from offering coverage excluding such item or service to that individual.

Denies that title I requires a health plan sponsor or a health insurance issuer to cover an item or service to which the sponsor or issuer has a moral or religious objection.

Denies also that title I authorizes imposition of a tax, penalty, fee, fine, or other sanction, or imposition of coverage of such an item or service, on health insurance coverage that excludes such an item or service.

Amends the Public Health Service Act to codify the prohibition against any action by the federal government and any state or local government receiving federal financial assistance to subject a health professional, or health care facility, organization, or plan to discrimination on the basis that the entity refuses to participate in abortion-related activities.

Requires the Department of Health and Human Services (HHS) to designate the Director of the Office for Civil Rights of HHS to receive and investigate complaints alleging a violation of this abortion discrimination prohibition.

Creates a cause of action for the Attorney General or any person or entity adversely affected to obtain equitable or legal relief for any violation of this abortion discrimination prohibition. Allows commencement of an action and the granting of relief without a prerequisite pursuit of administrative remedies. Allows such an action against a federal or state governmental entity.