Independent TD Mick Wallace has said Justice Minister Alan Shatter should resign and allow an overhaul of the senior management within the Garda Síochána.
"The Minister has to go, and several senior gardaí have serious questions to answer," he said.
"We have got so many stories from the public; so many stories from former gardaí (and) present gardaí that question the position of a lot of senior members of the force."
Garda Commissioner Martin Callinan
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The move comes after sustained pressure over his handling of the penalty points affair and his description of the whistleblowers' actions as "
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His statement makes no mention of his comments, and does not include a retraction or apology.
A lengthy cabinet meeting, at which his resignation was discussed, has now concluded.
Communications Minister Pat Rabbitte has said he wishes Martin Callinan well for the future.
"The Commissioner has made his own decision and I wish him well in retirement. I don't really want to comment beyond that," he said.
"I suspect that all of these will be dealt with in a Government statement (later today)…You'll have that statement very shortly," he said.