The men, who died in separate incidents, were both said to be making roof repairs when they suffered fatal injuries.
A farmer in his 50s, named locally as Conor Lordan, was working on a steel shed roof at a farm in Kilgarriff near Clonakilty, Co Cork, when he reportedly fell about 20 feet from a cherry picker.
He was said to have suffered critical head injuries after the incident at about 2pm on Sunday (October 22) and was pronounced dead at the scene.
It came only hours after another man, farmer in his mid-70s John Donnelly, died after a similar incident while reportedly carrying out repair work to his farm shed.
It is believed he fell from a ladder at about 3.30pm on Saturday (October 21) at his farm in Kilmacanogue, Co Wicklow.
Gardai and the Health and Safety Authority (HSA) are investigating and in both cases a post mortem will take place.
A Gardaí spokesman added: “Gardaí in Clonakilty are investigating the sudden death of a man in his early 50s who was working on a farm trying to repair the roof of a cow shed after the storm and fell from a teleporter.
“The incident occurred at a farm in the townland of Kilcarriffe at approximately 1 pm yesterday Sunday 22nd October, 2017.
“The body of the man has been removed to CUH where it is expected the post mortem will take place on Monday. HSA have been notified.
“Gardai in Bray are also investigating the sudden death of a man in his mid 70s that occurred on Saturday afternoon, October 21 2017, at approx 3.30pm at Kilmacanogue, Co. Wicklow.
“Gardaí were alerted to the incident that a man fell from a ladder while carrying out repairs to his farm shed. His body was removed to Morturary at St Columcilles hospital Loughlinstown where a post mortem will take place. The HSA have been notified and investigations are ongoing.”
It came as NFU Mutual urged farmers to remain on standby for storm remnants after winds of almost 100mph battered the country.