Huet had a shutout working until Jamie Langenbrunner scored following a Chicago turnover with 1:33 left in the third period.
The offensive onslaught against Brodeur came one night after he had turned in the NHL record 105th shutout of his career.
Troy Brouwer and Ben Eager scored less than 2 minutes apart late in the first period and New Jersey never recovered. The Blackhawks won for the fourth time in five games and raised their point total to 57 -- tied with New Jersey two points behind league-leading San Jose.
Brodeur gave up the five goals on 36 shots. New Jersey lost for just the second time in nine games.