Mr Brown was fortunate to get approval for the extra funding with the vote tied at 9-all.
He would have lost the vote if City Vision councillor Dr Cathy Casey, who opposed the extra money, did not leave the council chamber before the vote was taken.
Dr Casey later said she left the meeting early to attend her step-daughter's 14th birthday.
The Labour Party mayor was also visibly relieved to get the backing of Citizens & Ratepayers councillor Noelene Raffills, whose four centre-right colleagues voted against the funding package.
The most bitter comments of the debate were hurled at Mr McCully. Councillor and former National MP Arthur Anae said the minister had insulted Mr Brown by telling the world that Auckland was a bunch of idiots who could not run anything and then took over unilaterally.
"I want a strong message to go back to him from this council: find the money and fund the whole thing yourself,'' Mr Anae said.
Sporting legend, councillor and the council's Auckland Ambassador, Sir John Walker, said the rugby had been fantastic until Mr McCully came in, took over and put the blame on the mayor.
"That was the end of it for me, so I'm going to suggest the Government put up the $5 million,'' Sir John said.
Councillor Sandra Coney said she did not want the council to become party poopers, saying it was time to be prudent and not put the city at risk.
Deputy mayor Penny Hulse said the bottom line for the council was lose-lose.
"If people don't come [to the fan zones] we will be accused of over-engineering; and if people come and we haven't done the engineering required, we will be accused of not doing the right thing,'' she said.
THE VOTE
For
Len Brown
Penny Hulse
Sandra Coney
Alf Filipaina
Ann Hartley
Mike Lee
Richard Northey
Noelene Raffills
Wayne Walker
Against
Arthur Anae
Cameron Brewer
Christine Fletcher
Des Morrison
Calum Penrose
Dick Quax
Sharon Stewart
John Walker
George Wood
Absent for vote
Cathy Casey