Leo Varadkar has called for resignations from Sinn Féin over the attendance of senior party figures at Bobby Storey's funeral.
His comments come after Michelle O'Neill admitted the June funeral undermined public health guidelines in Northern Ireland.
The deputy Sinn Féin leader has said the Northern Ireland executive hasn't been able to deliver a clear message since the controversy.
The funeral of republican Bobby Storey took place in Belfast in June, with members of Sinn Féin in the cortege procession, while huge numbers of people lined the streets.
Michelle O'Neill said it wasn't her intention to undermine the messaging around COVID-19 but says it did.
Tánaiste Leo Varadkar welcomed Ms O'Neill's comments but criticised the party for the large attendance at the funeral in the Dáil today.
He said: "While I can understand people paying their respects in the street, I can't understand or accept the political rally in Milltown cemetery
"This was no graveside oration, Mr Storey was cremated on the other side of town.
"It was a political rally in the middle of a pandemic and organised by Sinn Féin and other republicans."
Mr Varadkar addressed Sinn Féin TD Pearse Doherty who spoke at the event and asked if he was going to apologise "or be held to account".
He added: "We've seen a dozen resignations as a result of Golfgate in the last few weeks.
"Will anyone in Sinn Féin be resigning as a consequence of this?
"Or do you believe that Sinn Féin republicans are some sort of higher caste that don't have to obey the same laws as everyone else and don't have to follow the public health guidance?"
Earlier, the DUP leader Arlene Foster "funeral fundamentally undermined the Northern Ireland Executive’s COVID-19 rules" and confused the public messaging.
She said it was "right" that Michelle O'Neill "acknowledged the undermining of the public messaging as a result of what happened and the deep hurt and anger that was caused".
"Those who set the rules must abide by the rules."
She added that she looks forward to the results of an investigation into the funeral.
Additional reporting by Ben Finnegan and Seán Defoe