East of England Ambulance Service confirmed they were called to the scene at 1.59pm but were unable to comment on injuries.
Several neighbours have said that a shooting took place on the street.
Bedfordshire Police confirmed they are still investigating the incident at the scene.
A spokesman said: “At around 1.30pm today we were called to property in Hibbert Street, Luton, following a report for concern for the safety of those inside.
“Hibbert Street has been temporarily closed while investigations take place.”
More on this story to follow