"There is no other individual we’re looking for at this point in time," de Blasio told reporters.
Rahami is a suspect in three separate weekend incidents in the New York metropolitan area.
On Saturday night, an explosion in New York City’s Chelsea neighborhood injured 29 people. A second device was discovered on nearby 23rd Street.
Earlier in the day, a bomb exploded near a US Marine Corps charity race in the city of Seaside Park, New Jersey, about 80 miles south of New York. No one was hurt in the New Jersey incident. On Monday morning, a third bomb exploded near a train station in Elizabeth, New Jersey as police were trying to disarm the device.