Light track
The demonstration, until 5 October, follows Daventry's involvement in the European Commission research group CityMobil, and similar events are taking place throughout Europe.
Cybercars are designed for short trips at low speed in an urban environment and need only a very light track to operate.
They aim to take people to a specific zone where private car access is limited and would be most efficient over short distances and in tourist areas.
Daventry District Council leader Chris Millar said: "We can build lots more car parks and have lots more cars going in or we can look at a viable alternative to the car.
"We believe this could be the answer."