He will need almost all of their votes to pass his initiatives in the Assembly.
Legislation successfully passed in the Assembly are known as ordinances.
The override passed in the Assembly but with no votes to spare.
The measure had already passed unanimously in the Assembly.
Under the bill passed in the Assembly last year, "partial" public financing will remain mostly private, with big donors still giving the most.
The measure passed by a 94-52 vote in the Democratic-controlled Assembly at 4:37 this morning after nearly 12 hours of debate.
The measure passed in the Democratic-controlled Assembly by a 127-to-14 vote.
The bill passed in the Assembly in June 2011 by a 47-17 margin.
The bill had passed in the Assembly on a bipartisan vote of 58-7.
The measure passed -78 to 60 in the Assembly and 35 to 21 -after fierce debate.