The two-term Republican governor made the comments Thursday night during his regular radio call-in show on New Jersey 101.5 FM.
NJ.com sent a plane and photographer to the Shore and caught the governor and his family on the beach. Photos of Christie lounging in a beach chair sparked an outcry and inspired memes in which the governor was inserted into images of everything from the Macy's Thanksgiving Day parade to Georges Seurat's painting Sunday Afternoon on the Island of la Grande Jatte.
According to NJ.com, Christie said he has avoided looking at the memes and has not talked to his children about them.
Christie has said the trip had been planned for months. On the radio Thursday, he said his children blamed themselves for the blowback, but he told them the beach trip was his decision, not theirs.
The governor has two sons and two daughters, who range in age from 14 to 24.
Christie said his children were hurt by the backlash, saying, "They don't understand people's unfairness and, quite frankly, their ignorance."
The shutdown was resolved early July 4.
You can view the entire interview (1 hour, 39 minutes) here.