Legolas does not marry or have any children, based on the appendix of The Lord of the Rings. Regardless of who his mother was, Legolas is the last of his line.
Legolas is the only son of Thranduil and has been raised by his father ever since the death of his mother. He became friends with his foster sister, Tauriel and developed romantic feelings for her.
They live near each other—Gimli in the Glittering Caves and Legolas just across the river in Ithilien. Neither Legolas nor Gimli marry; both remain single until they sail together to the Undying Lands.
Thranduil is very royal, strict. He wouldn't let his child marry any old elf. Tauriel gave her love to Kili in the movies. In “Laws and Customs of the Eldar”, or LACE, it talks about elves, and that they do not marry unless they truly love one another.
Legolas does not marry or have any children, based on the appendix of The Lord of the Rings. Regardless of who his mother was, Legolas is the last of his line. When he sails into the West at the beginning of the Fourth Age, he leaves no family members behind.
It is believed that after Kili dies, Tauriel becomes a lone rider and never loves again, she was so broken by the experience of losing him. Their love was real, and it was as strong as any other Middle Earth romance story.
“You gave me a very special bow, and I look after it.” In related news, sources reveal that I “had such a crush” on Aragorn, son of Arathorn, called Elessar, the Elfstone, Dúnadan, the heir of Isildur Elendil's son of Gondor.
However, Tauriel also has a "softer side", and her character arc includes a love story. Though she and Legolas first met as children, and their relationship is significant, her romantic arc is not with him, as she develops a mutual attraction to the dwarf Kíli.
Tauriel's fate
Tauriel was banished from Mirkwood by Thranduil, so what happens to Tauriel after the Battle of Five Armies remains unknown, although actress Evangeline Lilly stated in an interview that Tauriel returns to Mirkwood.
What is Legolas syndrome? The actor is suffering from Legolas Syndrome — where you accidentally get cast into a role that suits you far more than your real-life looks, leaving you with a tricky predicament after the wrap party.
Eventually, Legolas came to Ithilien with some of his people, with his father's leave, to live out his remaining time in Middle-earth helping to restore the devastatedforests of that war-ravaged land.
Now, as far as I can remember, Tolkien doesn't say “Legolas does not have children.” But Legolas is never mentioned as being a father, and there aren't any mentions in any genealogy charts of Legolas having descendants.
Loving Tauriel was a particularly harrowing event for Legolas. So much so, in fact, that he never shows any interest in romance ever again. He never even talks about romance in The Lord of The Rings trilogy. While he became averse to falling in love, the son of Thranduil did not become loveless.
To answer your question, no neither Gimli or Legolas get married or have any children.
LEGOLAS AND GIMLI
They are so close that Gimli actually goes with Legolas the Undying Lands and is the first dwarf to do so. These two as a romantic relationship would be extremely endearing and make a lot of sense.
In The Hobbit: The Desolation of Smaug, a romantic subplot develops between Kíli and Tauriel, a Silvan Elf who is a captain of Thranduil's guard in Mirkwood.
Tauriel doesn't exist in the text, she was invented solely for the onscreen adaptations, and Legolas doesn't feature in The Hobbit book, and wasn't written until much later, when Tolkien published the Lord of the Rings books.
Aragorn is not half Elf, although he is a descendant of Elros, who is half Elf (and the brother of Elrond, the half-Elf who raised him), which explains why Aragorn's life span is unusually long.
As many have observed before, the interactions between Frodo and Legolas are severely limited in the trilogy even though they are allies. In fact, there's only one line that Legolas says to Frodo: “And you have my bow.”
Legolas doesn't really talk to anyone outside of Aragorn and eventually Gimli, and even then his words are minimal. As a 5,000 year old elf, he can't really relate to the problems and interactions that the “children” of the Fellowship (aka everyone except Gandalf) have.
Frodo never once said Legolas' name in Peter Jackson's Lord of the Rings, which has led fans to the hilarious theory that he simply didn't know it. A Lord of the Rings movie theory indicates that, in Peter Jackson's beloved trilogy, Frodo Baggins didn't know Legolas' name.
Fili and Kili are not half-elf. They are the maternal nephews of Thorin Oakenshield, the dwarf, and are themselves dwarves of the line of Durin, the Longbeards.
Tauriel was a Silvan Elf who served as the Elvenking's captain of the guard alongside his son, Legolas. Tauriel and her Rangers were highly efficient in their patrols and kept the Elvenking's forest clear of spiders and other foul creatures that dared to trespass into the Woodland Realm.
Arwen is not Tauriel. Tauriel is not Arwen. The two couldn't be more different. Arwen Evenstar has a long history in the books, a relationship with Aragorn that goes back decades before we first meet her, and an established lineage as a child of Elrond and Celbrian, sister of Elladan and Elrohir.