Tanaiste Eamon Gilmore has described anti-abortion campaigners who sent hate mail to Praveen Halappanavar as depraved.
He said the widower, whose wife Savita died after being denied an abortion as she suffered a miscarriage in hospital in Galway last year, has been through enough and urged people to leave him alone.
"Praveen Halappanavar has had enough to endure over the course of the last period of time without having to endure the depraved attitudes of people who are just being hurtful," Mr Gilmore said.
"There is no justification and I would call on those who are engaged in that to stop it immediately."
With the Government just days away from enacting new laws on limited abortion, Mr Halappanavar issued legal proceedings against the Health Service Executive for alleged negligence in his wife's death.
He also disclosed details of abusive letters he has received, ordering him to leave Ireland following the political fallout surrounding his wife's death.
The 31-year-old dentist, who was 17 weeks pregnant when she miscarried, died after going into septic shock. She had been refused an abortion.
When written in to law, the controversial Protection of Life During Pregnancy Bill 2013 will legalise terminations where there is a real and substantial risk to the life of the mother, including the threat of suicide.
An inquest in April recorded a verdict of death due to medical misadventure.
The verdict found there were systemic failures or deficiencies in Mrs Halappanavar's care before she died, but coroner Ciaran MacLoughlin said these failures did not contribute to her death.