One person was arrested and police were continuing to review video footage of the protest.
A number of police staff suffered minor injuries, including scratches to the face and arms. A member of the public was also assaulted as they tried to enter the building.
"This was a very challenging event to police and I am disappointed with the behaviour of these protesters," Mr Gibson said.
"Auckland City police is well versed in policing such events, however the behaviour of this crowd went well beyond what is acceptable.
"We we work hard to ensure the lawful right of protest is upheld, however what we faced today was an aggressive crowd which had little regard for lawful behaviour, our staff and the public who were also there."
Mr Gibson said he was aware of certain video and commentary on social media today about the actions of police.
"Video which shows the full context of what police were facing paints a somewhat different picture from the selective extracts which some are choosing to show," he said.
Police would continue to review video footage of the protest with a view to deciding what further inquiries may be required.
Gia Garrick reports demonstrators were shouting right into the faces of the police.
"Protesters have run at police who are lining the entrances to SkyCity. They're still chanting in to megaphones, but running at the police. It's become quite rowdy down here."
Auckland Action Against Poverty rallied today to show its discontent outside the Prime Minister's post-Budget speech in Auckland today.
Sarah Thompson, spokeswoman for the group, Auckland Action Against Poverty, said yesterday's Budget allocations aimed at combatting child poverty were a "mean trick" and too little too late
An increase in benefits to families with children and a boost to Working for Families entitlements for those on very low incomes have been announced.
But it comes with a stipulation that solo parents and partners of beneficiaries have to be available for part-time work from when their youngest child is three-years-old, rather than five.
The moves have largely been panned by advocacy groups and opposition parties.
Auckland Action Against Poverty says the additional benefit payments will in no way compensate for the costs of transport, clothing and childcare inflicted by work search requirements.
Spokeswoman Sue Bradford said if the government was serious about dealing with poverty, it would lift benefits now to the same levels as superannuation, indexed to the average wage instead of inflation.
She said it would also be raising core benefits for people without children, many of who live the starkest of circumstances and need help too.
Sam Huggard from the Council of Trade Unions agrees, saying pushing parents back into part-time work is likely to stress them out, rather than help them out.
"Pushing people into very low paid insecure work as a result of these changes will put real pressure on the most important job of parents, which is looking after their kids, particularly at that young age."
And Green Party Co-Leader Metiria Turei said much of what National is giving with one hand will be taken away with the other.
She said the benefit increases are more than 40 years overdue, so it'd have been great if parents could keep more of what is a stingy amount.
Metiria Turei still sees Working for Families as a broken system.
"But only those on the lowest incomes are set for an increase, in most cases the price of a block of cheese."
Phil O'Reilly from Business New Zealand thinks most business will be supportive of that new spending, as they want the best for our communities.
"The challenge will be to make it work, and get those people back to work, and to make they are supported through childcare, transport costs, pastoral care etc."
And Children's commissioner Russell Wills is pleasantly surprised, given he wasn't expecting government to increase incomes for the poorest families with children.
But he said the Government still needs to make a concrete plan to help families out of poverty.
"Protesting for the sake of it"
Prime Minister John Key has accused the anti-poverty protestors of "protesting for the sake of it."
He said the Government's efforts to address poverty had been lost on the protestors outside SkyCity.
"We're the first the Government to raise benefits in 43 years - I would have thought they'd be cheering out there," he said.
Speaking to media after his speech, Mr Key said the protest was "a bit disappointing".
"But it's a free country and people are free to do that."
Asked if he could see the irony in speaking about poverty to people who had paid hundreds of dollars to attend the Business Circle event, Mr Key said: "I think the important thing is the business community really, passionately care about child poverty. They are working hard in their businesses to employ people."
He said he often saw the rationale behind protests.
"But protesting about child poverty when we're the first Government to raise benefits in 43 years, you just start saying they are protesting for the sake of it."
- With additional reporting from Newstalk ZB and NZME.