Titus Curtilius Mancia was a Roman senator, who held several offices in the emperor's service during the middle of the first century. He was suffect consul in the nundinium of November-December 55 as the colleague of Gnaeus Cornelius Lentulus Gaetulicus. No other senator with his gentilicium is known, so Mancia seems to have been a homo novus.
His origins are not known for sure; however, there are several indications that he came from the Gallia Narbonensis. At this time several senators from this province, probably due to the influence of the advisor of Nero, Sextus Afranius Burrus. In addition, his daughter married Gnaeus Domitius Lucanus, a member of the Narbonensischen aristocracy. His granddaughter, Domitia Lucilla Major, was through her eponymous daughter grandmother of the emperor Marcus Aurelius.
Details of Mancia's life are known only after his consulate. According to the ancient writer Phlegon of Tralles he was governor of the imperial province of Germania Superior by the year 56 as the successor of Lucius Antistius Vetus. He still held this office in the year 58, for Tacitus attests that his colleague in Germania Inferior, Lucius Duvius Avitus, asked him this year for military support for the campaign against the Ampsivarii. Mancia appears to have agreed to Duvius' request and campaigned with an army beyond the Rhine. It is not known when Mancia resigned the governorship; he possibly remained in Germania Superior until the appointment of Publius Sulpicius Scribonius Proculus, in the year 63.