The subject of this article or section originates from non-canonical sources.
To find out about what is considered "canon" see LOTR:Canon.
The Elves possessed different types of swords.
The Lhang is a shortsword used by both the Galadhrim and the High Elves. It was made to be used in sweeping attacks, and slashing.
Mirkwood Double-Bladed Polearm
The Woodland Guard are the soldiers of the Elvenking, sworn to protect and watch over the northern lands of the great forest of the Woodland Realm. Among their weapons is this polearm, crafted with a greenwood shaft and two curved Elven blades forged of bronzed steel with a steel edge of superior strength. It is spun continuously parallel to the elf's body, or used for stabbing.
Elven Lord Saber
These swords were used by high-ranking elves during the Second and Third Age. It has a shorter hilt than the normal weapons. At Rivendell, these weapons gradually replaced the Lhang of earlier times, which remained popular in Lindon and Lorien. This was likely because the Lord Saber was easier to use from horseback, a fighting style Imladris favored. Haldir, Arwen, and Elrond all used versions of this sword.
The Wood-Elves, less civil than their brethren, use a different kind of sword. It is mainly used from behind a large shield, with slashing and stabbing strokes. It is decorated with wood, cutouts, and carvings. It can also be used by two hands like the Lhang, bringing powerful slashes with each strike.
Thranduil's twin swords are forged from a single piece of steel, hollowed out and decorated with cutouts and runes. These may represent what Sindarin swords used to look like.