Equal Access to Abortion Coverage in Health Insurance (EACH Woman) Act of 2017 This bill requires the federal government: (1) to ensure coverage for abortion care in public health insurance programs including Medicaid, Medicare, and the Children's Health Insurance Program (CHIP); (2) as an employer or health plan sponsor, to ensure coverage for abortion care for participants and beneficiaries; and (3) as a provider of health services, to ensure that abortion care is made available to individuals who are eligible to receive services. The federal government may not prohibit, restrict, or otherwise inhibit insurance coverage of abortion care by state or local governments or by private health plans. State and local governments may not prohibit, restrict, or otherwise inhibit insurance coverage of abortion care by private health plans.