Narn i Hîn Húrin
The Narn (as it is commonly called) is a long story of all that happened to Húrin and his children Túrin Turambar and Nienor Níniel, after Húrin was cursed by Morgoth. In The Silmarillion, a complete but less detailed version of this story appears as "Of Túrin Turambar".
The story elaborates on what is told of these characters in the published Silmarillion, starting with the childhood of Túrin, continuing through the captivity of his father in the Nirnaeth Arnoediad, and Túrin's exile in Doriath, to Túrin's time in Nargothrond, his incestuous relationship with his sister, and ultimately ending with suicide by his sword Gurthang after having slain Glaurung.
The story has some inconsistencies when compared with the Silmarillion, and at points there are gaps and multiple versions: this is because Tolkien never really finished the story during his lifetime, and his son Christopher Tolkien had to choose from all the work to create a consistent narrative for the Silmarillion.
The story of the Narn continues in the Later Narn, which is also published in the Unfinished Tales, and in the Wanderings of Húrin, a text which was found to be too different in style from rest of the Silmarillion, but which continues the Narn past Túrin's death and ends with Húrin's eventual release and the bad deeds which come from that. This story was finally published in The War of the Jewels, a part of The History of Middle-earth series.
Note that the title of the Narn is given as Narn i Hîn Húrin in the published Silmarillion and Unfinished Tales. This was an editorial decision by Christopher Tolkien which he later regretted, done only to prevent people from pronouncing Chîn like English "Chin".