Lucius Acilius Strabo was a Roman senator active during the first century AD. He was suffect consul for the nundinium September-October 80 as the colleague of . He is known entirely from inscriptions. Acilius Strabo belongs to one of the major branches of the gens Acilia, but one which is not as familiar as the Acilii Glabriones and the Acilii Aviones. Further details about the Acili Strabones are uncertain.