Sigurðr wakes the valkyrie Brynhildr on the mountain, comes to King Gjúki and marries Guðrún. On Gunnarr's behalf he rides — in Gunnarr's shape — through the flickering flame around Brynhildr and gives her Andvari's ring as morning-gift, with the sword Gramr laid between them in the bed.
Þá reið Sigurðr, til þess er hann fann á fjallinu hús. Þar svaf inni ein kona, ok hafði sú hjálm ok brynju. Hann brá sverðinu ok reist brynjuna af henni. Þá vaknaði hon ok nefndist Hildr. Hon er kölluð Brynhildr ok var valkyrja.
Then Sigurðr rode until he found a house on the mountain. There inside slept a woman, and she had helm and mail-coat. He drew the sword and cut the mail-coat off her. Then she awoke and named herself Hildr. She is called Brynhildr and was a valkyrie.
Sigurðr reið þaðan ok kom til þess konungs, er Gjúki hét. Kona hans er nefnd Grímhildr. Börn þeira váru þau Gunnarr, Högni, Guðrún, Guðný. Gotthormr var stjúpsonr Gjúka. Þar dvalðist Sigurðr langa hríð. Þá fekk hann Guðrúnar Gjúkadóttur, en Gunnarr ok Högni sórust í bræðralag við Sigurð.
Sigurðr rode from there and came to the king named Gjúki. His wife is named Grímhildr. Their children were Gunnarr, Högni, Guðrún, Guðný. Gotthormr was Gjúki's stepson. Sigurðr stayed there a long while. Then he married Guðrún Gjúki's-daughter, and Gunnarr and Högni swore brotherhood with Sigurðr.
Því næst fóru þeir Sigurðr ok Gjúkusynir at biðja Gunnari konu til Atla Buðlasonar, Brynhildar, systur hans. Hon sat á Hindafjalli, ok var um sal hennar vafrlogi, en hon hafði þess heit strengt at eiga þann einn mann, er þorði at ríða vafrlogann. Þá riðu þeir Sigurðr ok Gjúkungar - þeir eru ok kallaðir Niflungar - upp á fjallit, ok skyldi þá Gunnarr ríða vafrlogann. Hann átti hest þann, er Goti heitir, en sá hestr þorði eigi at hlaupa í eldinn.
Next Sigurðr and Gjúki's sons went to woo for Gunnarr a wife — Brynhildr, sister of Atli Buðlason. She sat on Hindafjall, and around her hall was a flickering flame (vafrlogi), and she had sworn a vow to marry only that man who dared to ride the flickering flame. Then Sigurðr and the Gjúkungs — they are also called Niflungs — rode up onto the mountain, and Gunnarr was then to ride the flame. He had the horse called Goti, but that horse did not dare to leap into the fire.
Þá skiptu þeir litum, Sigurðr ok Gunnarr, ok svá nöfnum, því at Grani vildi undir engum manni ganga nema Sigurði. Þá hljóp Sigurðr á Grana ok reið vafrlogann. Þat kveld gekk hann at brúðlaupi með Brynhildi. En er þau kómu í sæing, þá dró hann sverðit Gram ór slíðum ok lagði í milli þeira. En at morgni, er hann stóð upp ok klæddi sik, þá gaf hann Brynhildi at línfé gullbauginn, þann er Loki hafði tekit af Andvara, en tók af hendi henni annan baug til minja. Sigurðr hljóp þá á hest sinn ok reið til félaga sinna. Skipta þeir Gunnarr þá aftr litum ok fóru heim til Gjúka með Brynhildi. Sigurðr átti tvau börn með Guðrúnu, Sigmund ok Svanhildi.
Then they exchanged shapes, Sigurðr and Gunnarr, and also names, because Grani would go under no man but Sigurðr. Then Sigurðr leapt on Grani and rode the flame. That evening he went to the wedding with Brynhildr. And when they came into bed, he drew the sword Gramr from its sheath and laid it between them. And in the morning, when he stood up and dressed, he gave Brynhildr as morning-gift the gold ring that Loki had taken from Andvari, and took from her hand another ring as a keepsake. Sigurðr then leapt on his horse and rode to his companions. He and Gunnarr then exchanged shapes back and went home to Gjúki with Brynhildr. Sigurðr had two children with Guðrún, Sigmundr and Svanhildr.