WASHINGTON – Facing a wave of lawsuits over what government can tell religious groups to do, the Obama administration Friday proposed a compromise for faith-based nonprofits that object to covering birth control in their employee health plans.

Some of the lawsuits appear headed for the Supreme Court, threatening another divisive legal battle over President Barack Obama’s health care overhaul law, which requires most employers to cover birth control free of charge to female workers as a preventive service. The law exempted churches and other houses of worship, but religious charities, universities, hospitals and even some for-profit businesses have objected.

The government’s new offer, in a proposed regulation, has two parts.