New Jersey became a state in 1787. The census began in 1790 and there is ongoing debate as to whether or not the 1790 census for New Jersey was burned. According to Kathleen W. Hinckley's publication, Your Guide to the Federal Census for genealogists, researchers, and family historians, Kathleen states, on page 112, as follows:
Consequently, New Jersey's census ostensibly began in 1790, but the 1790 through 1820 are missing or lost, except for the 1800 Cumberland County schedules. The below link will take you to the New Jersey census table at Rootsweb. Most of the rolls of film for the various counties still need transcribing for the Census Project. If you are interested in helping the Census Project, please be sure to check out the information available at the site below to volunteer. We always need more of your valuable assistance. Thank you.
THE INTERNET ARCHIVE - www.archive.org
The microfilm schedules for New Jersey for the following years are located at the Internet Archive and are provided by the Allen County Public Library, of Fort Wayne, Indiana:
The National Archives Record Administration has assigned numbers to the different rolls of census microfilm. They are as follows: