From an AP article of the same title on beliefnet:

New York's highest court ruled Thursday that social service agencies run by the Roman Catholic Church and other faiths must provide birth-control coverage to their employees, even if they consider contraception a sin.

The 6-0 decision by the Court of Appeals hinged on whether Catholic Charities and the nine other groups are essentially social service agencies, not churches.

At issue was a 2002 state law that requires employers to provide health insurance coverage for mammograms, bone density screening and other preventive services for women, including prescription contraceptives. The law exempts churches, seminaries and other institutions with a mainly religious mission.

Catholic Charities and the other groups sued the state for an exemption but lost in the lower courts.