Taoiseach Leo Varadkar has said that it is important that Accenture should put in place a "decent" redundancy package.
He said the job losses were devastating news even at a time of full employment and that the redundancies will have an impact on the individuals, their families and wider communities.
Yesterday, Accenture said it is to make 890 staff from its Irish operations redundant.
The company, which offers management consultancy services here for other organisations, informed staff of the job losses.
It currently employs around 6,500 people in Ireland.
Speaking on Newstalk radio, Mr Varadkar said the company did notify the Government of the job losses as it is required to do.
He said Government agencies would provide training and job search help, along with help regarding entitlements such as back-to-education and back-to-training schemes.
Separately, Minister of State Seán Fleming said the Government was given collective notice about the job losses at Accenture but it came as "a big shock".
Speaking on RTÉ's Morning Ireland, he said: "It's a big blow, especially to the people concerned and their families and our thoughts are with them. Because many of them are wondering, am I one of the 890 people that's going to get the bad news over the next day or so out of the 6,000 people that work there."
Mr Fleming said the Government is not behind the curve in relation to layoffs in the tech sector.
He said the IDA has created 6,000 jobs already this year.
"We are at full employment in Ireland with less than 4% unemployment that we've never experienced that in our lifetime.
"So definitely the economy is strong and the most important thing that the Government can do now, and the IDA will already be working on it, the skills profile.
"Because there will be other IDA clients in Ireland looking to employ people in the weeks and months ahead."
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Sinn Féin's Louise O’Reilly said clarity is needed for Accenture workers about who will be laid off as there is huge uncertainty for workers following the announcement.
Speaking on the same programme, she said the company should in the first instance be talking directly to the workers as part of the consultation process and working hard to save every job.
"So if there is a chance that any of these 890 jobs can be saved, it behoves the company and the workers to sit down," she said.
"Secondly, it's important that any redundancies are on a voluntary first basis and that may reduce the number in terms of compulsory [layoffs]."
She said that people got very devastating news and "now they are on tenterhooks because they don't know if they're going to have a job in in a month or two months' time.
"So, there has to be very clear criteria for selection for redundancy that should be negotiated directly with the workers."
She said that the Government needs to try to get ahead of this rather than waiting for layoff announcements.
Ms O’Reilly said there needs to be an examination at a more broader level at the tech sector "because there have been a number of high-profile job losses, but there have also been an awful lot of low-profile job losses, small numbers that don't make the headlines that we don't hear about.
"I do believe that many of those people are being reemployed, but I also know that many of them are returning to their home countries, so they are being lost to us.
"I think that there is a role for the Government just in assessing those numbers and trying to get ahead of it to get a broader picture."
She added that in the case of Accenture, the job losses in Ireland as a percentage of the overall job losses was going to be 20%, but worldwide it is 6.5%, "despite the fact that they say the Irish business is doing well".
"I think anyone would be confused by that.
"So, I think that's something that the IDA, Enterprise Ireland and indeed the minister need to interrogate because we need to know."
