Tyr is the son of Odin. It seems that Tyr was most deified in Denmark, but he was never worshiped much in Norway or Sweden. Tyr was the most courageous and bold God.
The name Tyr simply means god. Tyr is thought to have been the equivalent of Zeus or Jupiter as the "Sky-Father" of the Indo-Europeans. There are however hints that suggest that Tyr may originally have been the God of justice. Tyr's justice was not the calm Solomonic legislation we know but that of the lively wrangling of the Germanic legal process, which was effectively a battle sublimated into a form where the process of working out the problem could help rather than harm the community. In Icelandic scripts it seems though that Tyr was always looked upon as a war God.
Tyr would fight Garm, the hound of Hel at Ragnarok. Tyr appears in only one story, the story of how the Gods bound the wolf Fenrir and he lost his arm.
The story of how Tyr lost his arm:
The Gods kept and fed the wolf at home. Tyr was the only one who was brave enough to feed him. But when the Gods saw how fast the wolf grew, and as for all prophesies foretold that he would harm them, the Gods decided to make a strong fetter for Fenrir called "Læðing". They took the fetter to Fenrir and asked him to try to brake it, Fenrir did that without any trouble. The Gods then made the fetter called "Drómi" and asked the wolf to brake that one. Fenrir thought to him self as he hadn´t had any trouble braking the "læðing" why should he not be able to brake this one too. Fenrir told the Gods to put the fetter around his neck, he broke the fetter easily. The Gods then became scared that there would be no way to contain the wolf. Odin sent a messenger of Frey called Skirnir down into the world of the Swart Alfs, below the earth, to meet some Dwafs. The Dwarfs met the fetter called "Gleipnir". Gleipnir was made of six things: the boom of the cat, the beard of the woman, the roots of the mountains, the sinews of the bears, the breath of the fish and the spit of the birds. You might think there are no such things but this story shows why women don't grow beards, why the cat makes no sound and why the mountains have no roots. The fetter was smooth and wet as a strip of silk, but also strong . The Gods went to the lake called Ámsvartnir, and went to the eyot called Lyngvi. The Gods called the wolf to come, and when Fenrir came they showed him the strip of silk and told him that this fetter was stronger then the two he had already broken. They tried to brake it, with no luck, but then told the wolf to try himself. The wolf said that he thought he wouldn't get famous for braking such a thin fetter, but if the fetter was made with any magic it would not touch his feet. The gods told Fenrir that he would brake the fetter without any trouble. I don't like this the wolf said, sure that the Gods were playing tricks on him. If you want to put this fetter around my neck you can do so, but only if one of you puts his arm into my mouth while I try to brake the fetter. No God of course wanted to lose his arm, then suddenly Tyr put his right arm into the mouth of the wolf. When the wolf tried to unfasten the fetter the fetter got stronger and stronger. Then all the Gods laughed, except Tyr because he gave his arm. When the Gods saw that the wolf had been tied they took the chain called Gelgja which was fastened to the fetter and pulled it through a slab called Gjoll and fastened the slab deep into the earth. They then took a very big stone called Thviti and put it upon Gjoll to fasten is even more securely. Fenrir was of course not happy, so he tried to bite them. They then put a sword into his mouth so he could not close it. His drool formed a river called Van. It is said that Tyr will help you if - and only if - your cause is just.