Josefin Sockertopp, 23, told The Independent she had never seen the Star Trek movies or television shows until she met her husband, Sonnie Gustavsson, 29.
"The ceremony was his idea. I thought about it a lot and then I said 'let's do it'," she said. "It's a once in a lifetime thing."
The couple had a legal wedding ceremony in Stockholm on Thursday, the BBC reported. The Klingon ceremony was icing on the cake -- including a cake made of three Borg cubes.
"With fire and steel did the gods forge the Klingon heart," the wedding registrar chanted. "So fiercely did it beat, so loud was the sound, that the gods cried out, 'On this day we have brought forth the strongest heart in all the heavens. None can stand before it without trembling at its strength.'"
The wedding is believed to be Britain's first Klingon ceremony, the BBC said. It got scant attention from convention-goers, the British news network said.
The convention is also said to be the first at which all five captains of the Enterprise have appeared together from William Shatner of the first "Star Trek" to Scott Bakula of the TV prequel "Enterprise." They were joined by Patrick Stewart of "Next Generation," Avery Brooks, "Deep Space Nine," and Kate Mulgrew, "Voyager."