Quintus Pompeius Falco was a Roman politician of the early 2nd century AD.
He served as consul, probably in 108 and then became governor of Lower Moesia. He governed Roman Britain between 118 and 122 and hosted a visit to the province by the Emperor Hadrian in the last year.
It was in 122 that Hadrian decreed numerous reforms in Britain and also ordered the construction of Hadrian's Wall. Before this, in 118, Pompeius suppressed a rebellion thought to have involved the Brigantes and Selgovae tribes of Northern Britain although it may have resulted from foreign invasion. An inscription from Jarrow and commemorative coins issued in 119 attest to his success although a reference by the orator Fronto to many soldiers being killed in Britain under Hadrian's rule has been suggested as indicating that the victory was hard-won. Fronto may have been referring to a different conflict at another time however.