Publius Sempronius Sophus was a Roman politician in the third century BC.
Sempronius Sophus served as consul in 268 BC together with Appius Claudius Russus as his colleague. In that year, they waged war against the Picentes, who had begun a rebellion the previous year. The consuls triumphed over them. The Roman Colonies of Arimini and Benevento were founded in this year.
In 252 BC, Sempronius Sophus served as censor and expelled 16 senators from the senate.