New Jersey ? Ordered by New Jersey’s highest court to offer marriage or its equivalent to gay couples, the Legislature voted Thursday to make New Jersey the third state to allow civil unions.

Democratic Gov. Jon Corzine said he would sign the measure, which would extend to same-sex couples all the rights and privileges available under state law to married people. The bill passed the Assembly 56-19 and the Senate 23-12.

Among the benefits, gay couples would get under New Jersey’s civil unions bill are adoption rights, hospital visitation rights and inheritance rights. Officials could begin granting civil unions 60 days after the governor signs the legislation; Corzine did not say when he would do so.

The bill was drafted in response to a New Jersey Supreme Court ruling in October that required the state to extend the rights and benefits of marriage to gay couples within 180 days. The court, in its 4-3 ruling, left it up to the Legislature to decide whether to call such unions “marriages” or something else.