Weddings are among the ceremonies that are banned by to combat the spread of Covid-19.
The Metropolitan Police said on Thursday that Mr Friedlander had "voluntarily stepped down" as head of the IAG for the North London borough.
Mr Friedlander confirmed he had left the role."It’s happened, it’s over with now," he said.
Another wedding believed to have been due to take place in Golders Green on Thursday was called off following uproar over Wednesday’s event.
The government announced last month that it was stopping religious ceremonies including weddings, although funerals would be exempt.