Houses in Queens Park were damaged in the early hours of Friday morning (16 August) after a car was set alight on Cutcliffe Place.
A black Vauxhall Corsa was set on fire at around 12:40am, causing the front door and pathway of a nearby house to also sustain some fire damage.
Another car, a Vauxhall Meriva, is also thought to have had a flammable liquid poured over it.
Police say a broken vodka bottle and a lighter were found close by.
Investigation officer Emily Partington, said: “We are keen to speak to anyone who knows anything or who saw anyone acting suspiciously in the area before or after the incident.
“Luckily no one was injured, but whoever is responsible for this arson was intending to cause extensive damage to someone’s property and could have also endangered several lives.”
A Bedfordshire Police spokesperson added: “If you have any information, please call IO Partington on 101 or via the force’s online reporting centre quoting reference 40/47170/19.
“Alternatively, you can contact Crimestoppers, anonymously, on 0800 555 1111.”