Brady, 79, wanted his remains turned to ashes in Glasgow and scattered in the River Clyde.
Glasgow City Council said its crematoria would not accept his remains and the local authority planned to block any move to scatter Brady’s ashes in the city.
A privately operated group of cremation firms previously said its members would consider accepting Brady, but they have also refused the monster’s request.
Ian Brady wanted his remains turned to ashes in Glasgow and scattered in the River Clyde
The Scottish Cremation-Society, which runs the Lambhill facility to the north of the city, said fear of public disorder partly led to the decision.
The English authorities must now decide what to do with Brady, who died two weeks ago in Ashworth Hospital near Liverpool.
Brady was born in Glasgow’s Gorbals in 1938 but he moved down south in 1951 as part of a court probation order.
He and Myra Hindley, who died in 2002 at 60, killed five children aged 10 to 17 in and around Manchester in the 1960s.
During a brief inquest, it was revealed that Brady, who had been force-fed after going on hunger strike, died after removing his own feeding tube.
Revealed: The Moors Murderers' chilling personal photos Wed, May 17, 2017
Moors Murderer Ian Brady dies of lung cancer 54 years after killing first child. Moors Murderers Ian Brady and Myra Hindley documented their lives with a camera, these images are taken from a photo album seized by police.
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Moors Murderer Ian Brady pictured Myra Hindley and her younger sister Maureen
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The English authorities must now decide what to do with Brady, who died two weeks ago
Coroner Christopher Sumner was told that the exact cause of death was determined as “severe chronic obstructive pulmonary disease”.
He declined to release Brady’s body and asked for reports into the killer’s palliative care and details of his feeding to be compiled for a hearing at the end of next month.
He also sought assurances that Brady’s ashes would not be scattered over Saddleworth Moor, where he and Hindley buried four-victims.
The pair were jailed for life in 1966 for the murders of 10-year-old Lesley Ann Downey, 12-year-old John Kilbride and 17-year-old Edward Evans.
Two decades later, Brady admitted killing 16-year-old Pauline Reade and Keith -Bennett, 12. Hindley later admitted those killings as well.