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Tywin Lannister was arguably one of the most revered, feared, and respected Lords Paramount of the Westerlands.

"May I present my lord father, Tywin, son of Tytos, of House Lannister, Lord of Casterly Rock and Warden of the West."
Tyrion Lannister introduces his father, Tywin, to the chieftains of the hill tribes and Bronn.[src]

Lord Paramount of the Westerlands is the title given to the ruler of the Westerlands in the name of the Iron Throne. The holder is typically the head of the Great House of the Westerlands, which, since the title's creation during the War of Conquest, has been House Lannister of Casterly Rock. Two titles used in conjunction with this title are the Warden of the West and the Shield of Lannisport.

Following the assassination at the Tower of the Hand, in which Tywin Lannister was killed by his own son Tyrion via a crossbow bolt, Tyrion fled into exile, leaving Tywin's daughter Cersei to inherit the title in practice. Following the Battle of King's Landing, however, Tyrion was restored to the title by King Brandon Stark.

Known Lords Paramount of the Westerlands

In the books

In the A Song of Ice and Fire books, this title does not exist.