Gardaí have acquired water cannons for use in the events of any further riots or violent protests.
Garda Commissioner Drew Harris secured two water cannons from the PSNI which are due in Dublin this evening.
In a statement the PSNI said that it "dispatched two water cannons in response to a Mutual Aid request from An Garda Síochána.
"These will be solely operated by An Garda Síochána officers."
Commissioner Harris has also written to all gardaí assuring them of his support if they use their coercive powers to protect themselves and society in a lawful and proportionate manner.
Concerns had been raised following attacks on the streets last night on individual gardaí who did not draw their batons or other weapons to defend themselves.
The Commissioner also said he wanted to commend the gardaí on what he described as a very courageous job done with great professionalism last night.
Earlier, Commissioner Harris said there was an "element of radicalisation" in the riots which erupted in Dublin yesterday following a knife attack in the city centre, in which a woman and three young children were injured.
Mr Harris said a significant numbers of rioters attempted to breach the cordon of the crime scene on Parnell Square East.
He added: "We're going to have to have a fundamental review of our public order tactics, given the amount of violence".
Mr Harris said one garda received a serious injury, with "numerous other members injured" as missiles were thrown at them.
He said 13 shops have been significantly damaged or subjected to looting and 11 garda cars were damaged.
There were 34 arrests, with 32 people before the courts this afternoon.
Angry impromptu protests in the aftermath of yesterday attack outside a school in Parnell Square East spiralled into a night of violence and disorder as buses, trams and at least one Garda vehicle were burned.
There were clashes with riot police as some demonstrators let off flares and fireworks, while others flung chairs and stools grabbed from outside bars and restaurants.
Mr Harris said he did not accept that the riots were "a failure of personnel".
He said order was restored between 8.30pm and 9pm.
Asked about the preparedness of the Garda for the riots, he added: "We could not have anticipated that this would have been the reaction."
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Radicalisation through social media
Speaking at a press conference at Garda Headquarters, Commissioner Harris said said there would be "significant organisation and mobilisation" to prevent any further violence in the city.
He said a planning meeting had been arranged for 9am to determine the next steps.
What we saw last night was an extraordinary outbreak of violence," Commissioner Harris said.
"These are scenes that we have not seen in decades but what is clear is that people have been radicalised through social media and the internet.
"But I don't want to lose focus on the terrible event in terms of the dreadful assault on schoolchildren and their teacher.
"There's a full investigation ongoing. There’s also a full investigation in respect on the disorder."
The commissioner added: "We cannot allow the city to be given over to the thugs, the looters and the arsonists."
Mr Harris said sports shops were specifically targeted last night, adding that gardaí responded quickly and "were able to clamp down on that looting".
He said a five-year-old girl injured in yesterday's attack remains in a "very serious condition", while the woman is in a serious condition.
'Definite line of inquiry'
Minister for Justice Helen McEntee said gardaí are following a definite line of inquiry about the stabbing and have identified "a person of interest".
Speaking on RTÉ's Morning Ireland, she said "this is something that we have not seen before".
On the garda response, she said they were on the scene within minutes and apprehended the attacker who had been held by members of the public at the scene.
She said that there was a group of about 200 people who "wreaked havoc across the city" later in the day.
She said that there was no emergency meeting of the Government in relation to the incidents yesterday.
The minister said events in Dublin yesterday were "not a normal scene".
"This is not something that we see regularly, be it in our capital city or in this country. And what happened last night, a small group and I say small while it might have seemed like thousands, this was, perhaps 200 people who saw a particularly devastating act and took advantage of that and created and wreaked havoc across our city."
Minister McEntee said: "There were a huge number of gardaí who were assaulted, who were spat at, who were the victims of vitriol and hate themselves.
"I cannot commend them enough. I think they responded in the way that they felt was appropriate and that was required, and they are trained. They're the people on the ground who do this day in, day out.
"Gardaí will take what happened last night, they will adapt their response and they will make sure that from this morning, throughout the day and over the weekend, there is a strong presence and that they stop any type of gathering like this from happening again.
"There will be a very strong presence on the ground, but they will of course monitor any movement, any chat, or anything that's happening online today."
Praise for 'incredible selflessness' of school staff
Meanwhile, Minister for Education Norma Foley has praised the "incredible selflessness" of staff at the school in Dublin at the centre of the knife attack.
Speaking on the same programme, she said the National Education Psychological Services team are assisting at Gaelscoil Choláiste Mhuire.
"It's a great school, I know that school, I have visited that school and I was there again just early this summer where we turned the sod for a new school, a great staff, great community and together they're working through this," she said.
"There was incredible selflessness, the immediate instinct of everyone, including the carer and the staff and the school was to protect the children.
"It was quite extraordinary to see such bravery, such determination to do the right thing for the children in this awful, awful circumstance, and I really do want to acknowledge the carer and community and wish the carer well, the children well, and we hope for a very quick recovery for everybody concerned.
"But it's quite remarkable, that in the midst of such unexpected, such unprecedented actions in Parnell Square that the instinct to do right, to do good by the passersby, by the staff. It was quite exceptional."
A clean-up operation is under way in Dublin after last night's unrest.
O'Connell Street is dominated by the charred remains of burnt-out vehicles.
These are being removed, as well as debris on the streets and shattered glass, following attacks on some shops and looting.
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