Lucius Mindius is an unattested Roman Aristocrat that lived in the Roman Empire in the second half of the 1st century. Mindius was a Roman Senator of Consular rank. Little is known on his origins. In 84, Mindius married a noblewoman called Salonina Matidia as her second husband. She was the niece of future Roman Emperor Trajan. Matidia was previously widowed from her first marriage to suffect consul Lucius Vibius Sabinus, who left Matidia a daughter Vibia Sabina.
In 85, Matidia bore Mindius a daughter called Mindia Matidia (85-after 161), commonly known as Matidia Minor or Matidia the Younger. Like Matidia’s first marriage, Matidia’s marriage to Lucius Mindius was short-lived. Shortly after the birth of Mindia Matidia, Lucius Mindius had died. In 86 Matidia married the consul Lucius Scribonius Libo Rupilius Frugi Bonus.