Collectively known as the Derby Street multis, Butterburn Court and Bucklemaker Court, built in 1971, were 25 storeys high. The council had been finding them increasingly hard to let and decided it was not economic to refurbish them to bring them up to the Scottish Housing Quality Standard.
Safedem’s contract was worth £2.4m.
City council housing convener Cllr John Alexander said: "The blowdown was a great success and I'd like to thank and congratulate all of Dundee those involved in the process, from start to finish. Today marks another day in the continued regeneration of the Hilltown area and I look forward to seeing the area transformed in future years.
"The removal of these two colossal multi storey blocks inevitably has a dramatic effect on the city's landscape and along with other key developments such as the V&A at Dundee shows the city's continued growth and regeneration.
“It's great to see this area of the Hilltown come out from the shade and we are focussed on working with the community to deliver the Hilltown Regeneration Framework to create a prosperous and vibrant community."
In 2011 four other tower blocks were demolished in the Hilltown area as part of the regeneration projects.