The shot was sacked along Canal Street 700 block at approximately 3:25 am local time.
In a later tweet, they added: "An individual was detained near the scene". The other 10 "were transported to local medical facilities for treatment", police said.
Two people are in critical condition, with shots to the chest and torso respectively.
They later said the person's possible involvement was still under investigation and that no arrests had yet been made.
Police said they quickly responded to the incident as extra patrols were on duty for an annual Thanksgiving weekend university football game in the city.
According to media reports, all those injured were taken to local hospitals, two are in critical condition.
It is unclear whether the New Orleans shooting will lead to renewed calls for gun control.
Ferguson told The New Orleans Advocate/The Times-Picayune that a person of interest has been detained, but it was not immediately clear whether the person had any connection to the shooting. There were officers in the vicinity of the incident.
11 people have been injured after a shooting incident in New Orleans in the United States.
In a statement around midday Sunday local time, Ferguson said the investigation was still in the "very beginning stages". He said a group of officers was stationed on the same block where the shooting occurred.