New Jersey has a partial restriction on hollow-point bullets. From the New Jersey State Police site:
More in-depth info here: http://www.nj.gov/njsp/about/fire_hollow.html
Provided certain conditions are met, a sportsman may transport and use hollow point ammunition. There are no restrictions preventing a sportsman from keeping such ammunition at his home.
More in-depth info here: http://www.nj.gov/njsp/about/fire_hollow.html