Linden is south-west of the city of Elizabeth, where further devices were found late on Sunday.
The 28-year-old Afghan-born US citizen had been named by the FBI as a suspect in Saturday`s bombing in Manhattan.
His family home in Elizabeth was being searched by officers.
The bombing in the Chelsea district of Manhattan injured 29 people. An unexploded device was found nearby.
Early on Saturday a pipe bomb exploded in a New Jersey shore town ahead of a charity race. No-one was hurt.
President Barack Obama, speaking in New York, said officials did not believe there was a connection between events in New York and New Jersey and the stabbing attack in Minnesota, also on Saturday, in which nine people were injured.
It was apparently carried out by a 22-year-old ethnic Somali.
More about:
