The Andina news agency reported that the accident took place while the bus was on its way from Peru's capital of Lima to the city of Ayacucho.
Police have been dispatched to the scene. They said the two women dead in the accident were Peru's nationals. Those injured were transported to hospitals in Chala and Arequipa.
In April, around 20 people were killed and nearly a dozen injured in a fire that consumed a regional double-decker bus at a Peruvian transport terminal.