The musician was scheduled to play four concerts in the UK and Ireland but announced through his publicist that he was suffering from exhaustion.
He cancelled shows in Milton Keynes on September 9, Edinburgh on September 12, Manchester on September 14 and at Slane Castle in Ireland on September 17, along with six other dates in Europe.
Lord Henry Mountcharles had organised the biggest of the concerts at his Slane Castle Estate in Ireland, where 80,000 people were expected.
"In all the years that Slane has been running, we've never been confronted by a scenario like this," he said.
The statement put out on the singer's behalf was brief and to the point: "Eminem is currently being treated for exhaustion, complicated by other medical issues. The shows are not expected to be rescheduled."
The singer's publicist, Dennis Dennehy, said he had no further information on his bestselling artist's condition.
"We just want to get the word out that these tour dates are being cancelled," he said. "Hopefully we'll have some news later on."
Lord Mountcharles was angered by how the announcement was made and at such short notice. "I don't think the Rolling Stones or U2 would cancel a section owing to nervous exhaustion," he said.
"I'm very taken aback. I'm trying to be judicious with my words ... I don't deem that I've had a proper explanation.
"I was looking forward to the show myself. I think he is a stunning artist but I don't think he'll get a slot in Slane again."
Lord Mountcharles's amphitheatre-like estate in Co Meath has played host to several top acts since 1981, including the Rolling Stones, Bruce Springsteen and U2. Madonna headlined a concert there last year.
"Of course it has a negative financial impact but it was too late to schedule another show," Lord Mountcharles said.
"People don't understand how much work goes on in the background leading up to a show like this."
Eminem (real name Marshall Mathers), 32, completed his summer tour on August 13 with a performance in his hometown of Detroit.