Christie is requesting that amount, which is greater than his state's entire budget, from the federal government.
Christie says more than 30,000 homes or businesses were destroyed or sustained substantial damage from last month's storm.
The governor says the Federal Emergency Management Agency has distributed more than $500 million in aid since the storm and 230,000 New Jerseyans have registered for assistance.
The financial tally is higher than neighboring New York's. Earlier this week, New York Gov. Andrew Cuomo announced that Superstorm Sandy ran up a bill of $32 billion in his state.