The church façade was designed and built by Gian Lorenzo Bernini, who also produced a sculpture of the saint holding the palm leaf of martyrs.
According to an ancient, not documented tradition, the church was built in 363 by Roman matron Olimpina (or Olimpia) on the house where, during the supposed persecution of emperor Julian (361-363), Bibiana, her mother Dafrosa and her sister Demetria would have suffered martyrdom, while her father Flavian of Montefiascone would have been exiled and martyred in a place called ad Aquas Taurinas (perhaps the present Montefiascone).
Pope Leo II (682-683) moved there the relics of Martyrs Simplicius, Faustina and Viatrix from the Generosa Catacombs.
The same Pope built in the surroundings (iuxta Sanctam Vivianam) a church consecrated to Saint Paul, no longer extant.
The church of Santa Bibiana is located in 154 via Giovanni Giolitti in Rome, adjacent to Termini Station and not far from the so-called "Temple of Minerva Medica".