The gens Iallia was an obscure plebeian family at ancient Rome.
Members of this gens are not mentioned in ancient writers, but they rose to prominence during the middle part of the second century, with two of them achieving the consulship under Antoninus Pius.
All of the Iallii known from inscriptions lived in imperial times, and few are mentioned with praenomina.
The only regular cognomen of the Iallia gens was Bassus, which belonged to the senatorial family.
This was a common surname, originally referring to someone who might be described as "stout" or "sturdy", and was one of a large class of cognomina derived from a person's physical features.