Immigration officials said the visa agency, United States Immigration and Citizenship Services, would announce new procedures early this week for same-sex binational couples seeking green cards. The first approval was also supposed to be issued this week, officials acknowledged, but eager officers at the agency pressed the button on the notice on Friday.

For the last two years, the agency has kept a list of same-sex couples whose green card petitions were denied, the officials said, anticipating that the Supreme Court would eventually weigh in on DOMA. Those denials will now be reversed without couples having to present new applications, if no other issues have arisen. Gay couples with no denials, like Mr. Marsh and Mr. Popov, will move through the system at the same pace as traditional spouses, officials said.